메뉴 건너뛰기




Volumn , Issue , 2006, Pages 1-318

Critical point theory and its applications

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84891410069     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/0-387-32968-4     Document Type: Book
Times cited : (192)

References (396)
  • 1
    • 0000222362 scopus 로고    scopus 로고
    • A new cohomology for the Morse theory of strongly indefinite functionals on Hilbert spaces
    • A. Abbondandolo, A new cohomology for the Morse theory of strongly indefinite functionals on Hilbert spaces, Topol. Meth. Nonl. Anal., 9(1997), 325-382.
    • (1997) Topol. Meth. Nonl. Anal. , vol.9 , pp. 325-382
    • Abbondandolo, A.1
  • 3
    • 0013233280 scopus 로고    scopus 로고
    • Index estimates for strongly indefinite functionals, periodic orbits and homoclinic solutions of first order Hamiltonian systems
    • A. Abbondandolo, J. Molina, Index estimates for strongly indefinite functionals, periodic orbits and homoclinic solutions of first order Hamiltonian systems, Calc. Var., 11(2000), 395-430.
    • (2000) Calc. Var. , vol.11 , pp. 395-430
    • Abbondandolo, A.1    Molina, J.2
  • 4
    • 0003796630 scopus 로고
    • Academic Press, New York-San Franciso-London
    • R. A. Adams, Sobolev Space, Academic Press, New York-San Franciso-London, 1975.
    • (1975) Sobolev Space
    • Adams, R.A.1
  • 5
    • 44049114539 scopus 로고
    • Existence of solutions for semilinear elliptic equations with indefinite linear part
    • S. Alama and Y.Y. Li, Existence of solutions for semilinear elliptic equations with indefinite linear part, J. Diff. Equations, 96(1992), 89-115.
    • (1992) J. Diff. Equations , vol.96 , pp. 89-115
    • Alama, S.1    Li, Y.Y.2
  • 6
    • 0000212150 scopus 로고
    • On "multibump" bound states for certain semilinear elliptic equations
    • S. Alama and Y.Y. Li, On "multibump" bound states for certain semilinear elliptic equations, Indiana J. Math., 41 (1992), 983-1026.
    • (1992) Indiana J. Math. , vol.41 , pp. 983-1026
    • Alama, S.1    Li, Y.Y.2
  • 7
    • 0004376268 scopus 로고
    • Ljusternik-Schnirelman theory and nonlinear eigenvalue problems
    • H. Amann, Ljusternik-Schnirelman theory and nonlinear eigenvalue problems. Math. Ann., 199(1972), 55-72.
    • (1972) Math. Ann. , vol.199 , pp. 55-72
    • Amann, H.1
  • 8
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
    • H. Amann, Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM, Review, 18(1976), 620-709.
    • (1976) SIAM, Review , vol.18 , pp. 620-709
    • Amann, H.1
  • 9
    • 0001727302 scopus 로고
    • Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations
    • H. Amann and E. Zehnder, Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations, Ann. Scuola Norm. Sup. Pisa, 7(1980), 539-603.
    • (1980) Ann. Scuola Norm. Sup. Pisa , vol.7 , pp. 539-603
    • Amann, H.1    Zehnder, E.2
  • 10
    • 0000100228 scopus 로고
    • Periodic solutions of asymptotically linear Hamiltonian systems
    • H. Amann and E. Zehnder, Periodic solutions of asymptotically linear Hamiltonian systems, Manuscr. Math., 32(1980), 149-189.
    • (1980) Manuscr. Math. , vol.32 , pp. 149-189
    • Amann, H.1    Zehnder, E.2
  • 11
    • 0030577835 scopus 로고    scopus 로고
    • Multiplicity results for some nonlinear elliptic equations
    • A. Ambrosetti, J. Azorero and I. Peral, Multiplicity results for some nonlinear elliptic equations, J. Funct. Anal, 137(1996), 219-242.
    • (1996) J. Funct. Anal , vol.137 , pp. 219-242
    • Ambrosetti, A.1    Azorero, J.2    Peral, I.3
  • 12
    • 0013434847 scopus 로고    scopus 로고
    • Homoclinics: Poincare-Melnikov type results via variational approach
    • A. Ambrosetti and M. Badiale, Homoclinics: Poincare-Melnikov type results via variational approach, Ann. Inst. H. Poincare. Anal. Non Lineaire 15(1998), 233-252.
    • (1998) Ann. Inst. H. Poincare. Anal. Non Lineaire , vol.15 , pp. 233-252
    • Ambrosetti, A.1    Badiale, M.2
  • 13
    • 0002237653 scopus 로고    scopus 로고
    • Variational perturbative methods and bifurcation of bound states from the essential spectrum
    • A. Ambrosetti and M. Badiale, Variational perturbative methods and bifurcation of bound states from the essential spectrum, Proc. Roy. Soc. Edinburgh Sect. A, 128(1998), 1131-1161.
    • (1998) Proc. Roy. Soc. Edinburgh Sect. A , vol.128 , pp. 1131-1161
    • Ambrosetti, A.1    Badiale, M.2
  • 14
    • 0002087531 scopus 로고
    • Homoclinic for second order conservative systems
    • (Trento Longman Sci. Tech., Harlow 1992
    • A. Ambrosetti and M. L. Bertotti, Homoclinic for second order conservative systems. In: Partial diff. eqns. and related subjects (Trento, 1990), 21-37. Longman Sci. Tech., Harlow, 1992.
    • (1990) Partial Diff. Eqns. and Related Subjects , pp. 21-37
    • Ambrosetti, A.1    Bertotti, M.L.2
  • 15
    • 0000049245 scopus 로고
    • Combined effects of concave and convex nonlinearities in some elliptic problems
    • A. Ambrosetti, H. Brezis and G. Cerami, Combined effects of concave and convex nonlinearities in some elliptic problems, J. Funct. Anal., 122(1994), 519-543.
    • (1994) J. Funct. Anal. , vol.122 , pp. 519-543
    • Ambrosetti, A.1    Brezis, H.2    Cerami, G.3
  • 16
    • 0001125277 scopus 로고
    • Multiplicite des orbites homoclines pour des systemes conservatifs
    • A. Ambrosetti and V. Coti Zelati, Multiplicite des orbites homoclines pour des systemes conservatifs, C.R. Acad. Sci. Paris, 314(1992), 601-604.
    • (1992) C.R. Acad. Sci. Paris , vol.314 , pp. 601-604
    • Ambrosetti, A.1    Coti Zelati, V.2
  • 17
    • 0030577835 scopus 로고    scopus 로고
    • Multiplicity results for some nonlinear elliptic equations
    • A. Ambrosetti, J. Garcia Azorero and I. P. Alonso, Multiplicity results for some nonlinear elliptic equations, J. Funct. Anal., 137(1996), 219-242.
    • (1996) J. Funct. Anal. , vol.137 , pp. 219-242
    • Ambrosetti, A.1    Garcia Azorero, J.2    Alonso, I.P.3
  • 18
    • 34250466905 scopus 로고
    • On the inversion of some differentiable mappings with singularities between Banach spaces
    • A. Ambrosetti and G. Prodi, On the inversion of some differentiable mappings with singularities between Banach spaces, Ann. Mat. Pura Appl., 93(1972), 231-246.
    • (1972) Ann. Mat. Pura Appl. , vol.93 , pp. 231-246
    • Ambrosetti, A.1    Prodi, G.2
  • 19
    • 34548350707 scopus 로고
    • Dual variational methods in critical point theory and applications
    • A. Ambrosotti and P. H. Rabinowitz, Dual variational methods in critical point theory and applications, J. Funct. Anal, 14(1973), 349-381.
    • (1973) J. Funct. Anal , vol.14 , pp. 349-381
    • Ambrosotti, A.1    Rabinowitz, P.H.2
  • 20
    • 0033465124 scopus 로고    scopus 로고
    • A superquadratic indefinite elliptic system and its Morse-Conley-Floer homology
    • S. Angenent and R. van der Vorst, A superquadratic indefinite elliptic system and its Morse-Conley-Floer homology. Math. Z., 231(1999), 203-248.
    • (1999) Math. Z. , vol.231 , pp. 203-248
    • Angenent, S.1    Vorst Der R.Van2
  • 21
    • 3042516085 scopus 로고    scopus 로고
    • A note on quasilinear elliptic eigenvalues problems
    • G. Arioli, A note on quasilinear elliptic eigenvalues problems, E. J. Diff. Eqns., 47(1999), 1-12.
    • (1999) E. J. Diff. Eqns. , vol.47 , pp. 1-12
    • Arioli, G.1
  • 22
    • 0000185270 scopus 로고    scopus 로고
    • Homoclinic solutions of Hamiltonian systems with symmmetry
    • G. Arioli and A. Szulkin, Homoclinic solutions of Hamiltonian systems with symmmetry, J. Diff. Eqns., 158(1999), 291-313.
    • (1999) J. Diff. Eqns. , vol.158 , pp. 291-313
    • Arioli, G.1    Szulkin, A.2
  • 23
    • 84968483586 scopus 로고
    • Multiplicity of solutions for elliptic problems with critical exponents or with a nonsymmetric term
    • J. G. Azorero and I. P. Alonso, Multiplicity of solutions for elliptic problems with critical exponents or with a nonsymmetric term. Trans. Amer. Math. Soc, 323(1991), 887-895.
    • (1991) Trans. Amer. Math. Soc , vol.323 , pp. 887-895
    • Azorero, J.G.1    Alonso, I.P.2
  • 24
    • 0012370640 scopus 로고
    • Topological results on a certain class of functional and applications
    • A. Bahri, Topological results on a certain class of functional and applications, J. Funct. Anal, 41(1981), 397-427.
    • (1981) J. Funct. Anal , vol.41 , pp. 397-427
    • Bahri, A.1
  • 25
    • 84968503357 scopus 로고
    • A perturbation method in critical point theory and applications
    • A. Bahri and H. Berestycki, A perturbation method in critical point theory and applications, Trans. Amer. Math. Soc, 267(1981), 1-32.
    • (1981) Trans. Amer. Math. Soc , vol.267 , pp. 1-32
    • Bahri, A.1    Berestycki, H.2
  • 26
    • 0001341245 scopus 로고
    • Forced vibrations of superquadratic Hamiltonian systems
    • A. Bahri and H. Berestycki, Forced vibrations of superquadratic Hamiltonian systems. Acta Math., 152(1984), 143-197.
    • (1984) Acta Math. , vol.152 , pp. 143-197
    • Bahri, A.1    Berestycki, H.2
  • 27
    • 0011470952 scopus 로고
    • Remarks on the variational theory of critical points and applications
    • A. Bahri and P. L. Lions, Remarks on the variational theory of critical points and applications, C. R. Acad. Sci. Paris Ser. I. Math., 301(1985), 145-148.
    • (1985) C. R. Acad. Sci. Paris Ser. I. Math. , vol.301 , pp. 145-148
    • Bahri, A.1    Lions, P.L.2
  • 28
    • 0009179578 scopus 로고
    • Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity
    • P. Bartolo, V. Benci and D. Fortunato, Abstract critical point theorems and applications to some nonlinear problems with strong resonance at infinity, Nonl. Anal. TMA, 7(1983), 981-1012.
    • (1983) Nonl. Anal. TMA , vol.7 , pp. 981-1012
    • Bartolo, P.1    Benci, V.2    Fortunato, D.3
  • 29
    • 0035922965 scopus 로고    scopus 로고
    • Critical point theory on partially ordered Hilbert spaces
    • T. Bartsch, Critical point theory on partially ordered Hilbert spaces, J. Funct. Anal, 186(2001), 117-152.
    • (2001) J. Funct. Anal , vol.186 , pp. 117-152
    • Bartsch, T.1
  • 30
    • 0001594538 scopus 로고
    • Infinitely many solutions of a symmetric Dirichlet problem
    • T. Bartsch, Infinitely many solutions of a symmetric Dirichlet problem. Nonlinear Analysis, TMA, 20(1993), 1205-1216.
    • (1993) Nonlinear Analysis, TMA , vol.20 , pp. 1205-1216
    • Bartsch, T.1
  • 31
    • 0034400761 scopus 로고    scopus 로고
    • On the Morse indices of signchanging solutions for nonlinear elliptic problems
    • T. Bartsch, K. C. Chang and Z. Q. Wang, On the Morse indices of signchanging solutions for nonlinear elliptic problems. Math. Z., 233(2000), 655-677.
    • (2000) Math. Z. , vol.233 , pp. 655-677
    • Bartsch, T.1    Chang, K.C.2    Wang, Z.Q.3
  • 32
    • 0030600877 scopus 로고    scopus 로고
    • Critical point theory for indefinite functionals with symmetries
    • T. Bartsch and M. Clapp, Critical point theory for indefinite functionals with symmetries, J. Funct. Anal, 138(1996), 107-136.
    • (1996) J. Funct. Anal , vol.138 , pp. 107-136
    • Bartsch, T.1    Clapp, M.2
  • 33
    • 0001887979 scopus 로고    scopus 로고
    • Infinitely many solutions of nonlinear elliptic systems
    • Progr. Nonl. Diff. Eqns. Appl 35, Birkhauser, Basel
    • T. Bartsch and D. G. de Figueiredo, Infinitely many solutions of nonlinear elliptic systems. Topics in Nonl. Anal, 51-67, Progr. Nonl. Diff. Eqns. Appl, 35, Birkhauser, Basel, 1999.
    • (1999) Topics in Nonl. Anal , pp. 51-67
    • Bartsch, T.1    De Figueiredo, D.G.2
  • 34
    • 0039441081 scopus 로고    scopus 로고
    • On a nonlinear Schrodinger equation with periodic potential
    • T. Bartsch and Y. Ding, On a nonlinear Schrodinger equation with periodic potential. Math. Ann., 313 (1999), 15-37.
    • (1999) Math. Ann. , vol.313 , pp. 15-37
    • Bartsch, T.1    Ding, Y.2
  • 35
    • 0036627943 scopus 로고    scopus 로고
    • Homoclinic solutions of an infinite-dimensional Hamiltonian systems
    • T. Bartsch and Y. Ding, Homoclinic solutions of an infinite-dimensional Hamiltonian systems. Math. Z., 240(2001), 289-310.
    • (2001) Math. Z. , vol.240 , pp. 289-310
    • Bartsch, T.1    Ding, Y.2
  • 36
    • 0035341850 scopus 로고    scopus 로고
    • Critical point theory with applications to asymptotically linear wave and beam equations
    • T. Bartsch and Y. Ding, Critical point theory with applications to asymptotically linear wave and beam equations, Nonl. Anal. TMA, 44(2001), 727-748.
    • (2001) Nonl. Anal. TMA , vol.44 , pp. 727-748
    • Bartsch, T.1    Ding, Y.2
  • 37
    • 0031077087 scopus 로고    scopus 로고
    • Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
    • T. Bartsch and S. Li, Critical point theory for asymptotically quadratic functionals and applications to problems with resonance, Nonl. Anal. TMA, 28(1997), 419-441.
    • (1997) Nonl. Anal. TMA , vol.28 , pp. 419-441
    • Bartsch, T.1    Li, S.2
  • 39
    • 0346289757 scopus 로고    scopus 로고
    • Nonlinear Schrodinger equations with steep potential well
    • T. Bartsch, A. Pankov and Z. Q. Wang, Nonlinear Schrodinger equations with steep potential well, Comm. Contemp. Math., 4(2001), 549-569.
    • (2001) Comm. Contemp. Math. , vol.4 , pp. 549-569
    • Bartsch, T.1    Pankov, A.2    Wang, Z.Q.3
  • 40
    • 66149175030 scopus 로고    scopus 로고
    • Hamiltonian systems: Periodic and homoclinic solutions by variational methods
    • Chapter 2 (A. Canada, P. Drabek, A. Fonda, Eds.) Elsevier
    • T. Bartsch and A. Szulkin, Hamiltonian systems: periodic and homoclinic solutions by variational methods. Handbook of Differential Equations-Ordinary Differential Equations, 2, Chapter 2, 77-146, (A. Canada, P. Drabek, A. Fonda, Eds.) Elsevier 2005.
    • (2005) Handbook of Differential Equations-Ordinary Differential Equations , vol.2 , pp. 77-146
    • Bartsch, T.1    Szulkin, A.2
  • 41
    • 84937765118 scopus 로고
    • Existence and multiple results for some superlinear elliptic problems on R
    • T. Bartsch and Z. Q. Wang, Existence and multiple results for some superlinear elliptic problems on R, Comm. in Partial Diff. Eqns., 20(1995), 1725-1741.
    • (1995) Comm. in Partial Diff. Eqns. , vol.20 , pp. 1725-1741
    • Bartsch, T.1    Wang, Z.Q.2
  • 42
    • 0000636235 scopus 로고    scopus 로고
    • On the existence of sign-changing solutions for semilinear Dirichlet problems
    • T. Bartsch and Z. Q. Wang, On the existence of sign-changing solutions for semilinear Dirichlet problems, Topo. Meth. Nonl. Anal, 7(1996), 115-131.
    • (1996) Topo. Meth. Nonl. Anal , vol.7 , pp. 115-131
    • Bartsch, T.1    Wang, Z.Q.2
  • 43
    • 0038875653 scopus 로고    scopus 로고
    • Periodic solutions of spatially periodic, even Hamiltonian systems
    • T. Bartsch and Z. Q. Wang, Periodic solutions of spatially periodic, even Hamiltonian systems, J. Diff. Eqns., 135(1997), 103-128.
    • (1997) J. Diff. Eqns. , vol.135 , pp. 103-128
    • Bartsch, T.1    Wang, Z.Q.2
  • 44
    • 0006804281 scopus 로고    scopus 로고
    • Sign changing solutions of nonlinear Schrodinger equations
    • T. Bartsch and Z. Q. Wang, Sign changing solutions of nonlinear Schrodinger equations, Topo. Meth. Nonl. Anal, 13(1999), 191-198.
    • (1999) Topo. Meth. Nonl. Anal , vol.13 , pp. 191-198
    • Bartsch, T.1    Wang, Z.Q.2
  • 46
    • 1642367059 scopus 로고    scopus 로고
    • A note on additional properties of sign changing solutions to superlinear elliptic equations
    • T. Bartsch and T. Weth, A note on additional properties of sign changing solutions to superlinear elliptic equations, Topol. Methods in Nonl. Anal, 22(2003), 1-14.
    • (2003) Topol. Methods in Nonl. Anal , vol.22 , pp. 1-14
    • Bartsch, T.1    Weth, T.2
  • 47
    • 17644400698 scopus 로고    scopus 로고
    • Three nodal solutions of singularly perturbed elliptic equations on domains without topology
    • T. Bartsch and T. Weth, Three nodal solutions of singularly perturbed elliptic equations on domains without topology, Ann. Inst. H. Poincare-Analyse Nonlin., 22 (2005), 259-281.
    • (2005) Ann. Inst. H. Poincare-Analyse Nonlin. , vol.22 , pp. 259-281
    • Bartsch, T.1    Weth, T.2
  • 48
    • 84966205441 scopus 로고
    • On an elliptic equation with concave and convex nonlinearities
    • T. Bartsch and M. Willem, On an elliptic equation with concave and convex nonlinearities, Proc. Amer. Math. Soc, 123(1995), 3555-3561.
    • (1995) Proc. Amer. Math. Soc , vol.123 , pp. 3555-3561
    • Bartsch, T.1    Willem, M.2
  • 49
    • 84961494806 scopus 로고
    • Periodic solutions of non-autonomous Hamiltonian systems with symmetries
    • T. Bartsch and M. Willem, Periodic solutions of non-autonomous Hamiltonian systems with symmetries, J. reine angew. Math., 451(1994), 149-159.
    • (1994) J. Reine Angew. Math. , vol.451 , pp. 149-159
    • Bartsch, T.1    Willem, M.2
  • 50
    • 0000958868 scopus 로고
    • Infinitely many nonradial solutions of a Euclidean scalar field equation
    • T. Bartsch and M. Willem, Infinitely many nonradial solutions of a Euclidean scalar field equation, J. Funct. Aanl., 117(1993), 447-460.
    • (1993) J. Funct. Aanl. , vol.117 , pp. 447-460
    • Bartsch, T.1    Willem, M.2
  • 51
    • 0001232950 scopus 로고
    • On critical point theory for indefinite functionals in the presence of symmetries
    • V. Benci, On critical point theory for indefinite functionals in the presence of symmetries. Trans. Amer. Math. Soc, 274(1982), 533-572.
    • (1982) Trans. Amer. Math. Soc , vol.274 , pp. 533-572
    • Benci, V.1
  • 52
    • 0010928909 scopus 로고
    • Introduction to Morse theory: A new approach
    • M. Matzen, A. Vignoh (eds) Birkhauser, Boston
    • V. Benci, Introduction to Morse theory: A new approach. M. Matzen, A. Vignoh (eds). Topological Nonlinear Analysis, pp. 37-177. Birkhauser, Boston 1995.
    • (1995) Topological Nonlinear Analysis , pp. 37-177
    • Benci, V.1
  • 53
    • 45149140804 scopus 로고
    • Existence of positive solutions of the equation N - 2 -Au + a{x)u = u in Rn
    • V. Benci and G. Cerami, Existence of positive solutions of the equation N - 2 -Au + a{x)u = u in Rn, J. Funct Anal, 88 (1990), 90-117.
    • (1990) J. Funct Anal , vol.88 , pp. 90-117
    • Benci, V.1    Cerami, G.2
  • 54
    • 0001645385 scopus 로고
    • Homoclinic orbits on compact manifolds
    • V. Benci and F. Giannoni, Homoclinic orbits on compact manifolds, J. Math. Anal Appl., 157(1991), 568-576.
    • (1991) J. Math. Anal Appl. , vol.157 , pp. 568-576
    • Benci, V.1    Giannoni, F.2
  • 55
    • 1542437218 scopus 로고
    • Critical point theorems for indefinite functional
    • V. Benci and P. H. Rabinowitz, Critical point theorems for indefinite functional. Invent Math., 52(1979), 241-273.
    • (1979) Invent Math. , vol.52 , pp. 241-273
    • Benci, V.1    Rabinowitz, P.H.2
  • 56
    • 0000664674 scopus 로고
    • Extrema problems with critical Sobolev exponents on unbounded domains
    • A. K. Ben-Naoum, C. Troestler and M. Willem, Extrema problems with critical Sobolev exponents on unbounded domains. Nonlinear Analysis TMA, 26(1995), 823-833.
    • (1995) Nonlinear Analysis TMA , vol.26 , pp. 823-833
    • Ben-Naoum, A.K.1    Troestler, C.2    Willem, M.3
  • 58
    • 0020591567 scopus 로고
    • Nonlinear scalar field equations. I. Existence of a ground state
    • H. Berestycki and P. L. Lions, Nonlinear scalar field equations. I. Existence of a ground state. Arch. Rational Mech. Anal, 82(1983), 313-345.
    • (1983) Arch. Rational Mech. Anal , vol.82 , pp. 313-345
    • Berestycki, H.1    Lions, P.L.2
  • 59
    • 0033095598 scopus 로고    scopus 로고
    • On the Bolza problem
    • P. Bolle, On the Bolza problem, J. Differential equations, 152(1999), 274-288.
    • (1999) J. Differential Equations , vol.152 , pp. 274-288
    • Bolle, P.1
  • 60
    • 0012111157 scopus 로고    scopus 로고
    • Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions
    • J. F. Bonder, J. P. Pinasco and J. D. Rossi, Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions, E. J. Diff. Eqns., 1999(1999), No. 40, 1-15.
    • (1999) E. J. Diff. Eqns. , vol.1999 , Issue.40 , pp. 1-15
    • Bonder, J.F.1    Pinasco, J.P.2    Rossi, J.D.3
  • 61
    • 0006762156 scopus 로고    scopus 로고
    • Existence for an elliptic system with nonlinear boundary conditions via fixed point methods
    • J. F. Bonder and J. D. Rossi, Existence for an elliptic system with nonlinear boundary conditions via fixed point methods. Adv. Diff. Eqns., 6(2001), 1-20.
    • (2001) Adv. Diff. Eqns. , vol.6 , pp. 1-20
    • Bonder, J.F.1    Rossi, J.D.2
  • 62
    • 0012185801 scopus 로고    scopus 로고
    • Some remarks on a system of quasilinear elliptic equations
    • L. Boccardo and D. G. de Figueiredo, Some remarks on a system of quasilinear elliptic equations, NoDEA, 9(2002), 309-323.
    • (2002) NoDEA , vol.9 , pp. 309-323
    • Boccardo, L.1    De Figueiredo, D.G.2
  • 63
    • 84966212755 scopus 로고
    • Lectures on Morse theory, old and new
    • R. Bott, Lectures on Morse theory, old and new. Bull. Amer. Math. Soc, 7(1982), 331-358.
    • (1982) Bull. Amer. Math. Soc , vol.7 , pp. 331-358
    • Bott, R.1
  • 65
    • 84980149395 scopus 로고
    • On a characterization of fiow invariant sets
    • H. Brezis, On a characterization of fiow invariant sets, Comm. Pure. Appl. Math., 23(1970), 261-263.
    • (1970) Comm. Pure. Appl. Math. , vol.23 , pp. 261-263
    • Brezis, H.1
  • 66
    • 0001735158 scopus 로고
    • Remarks on the Schrodinger operator with singular complex potentials
    • H. Brezis and T. Kato, Remarks on the Schrodinger operator with singular complex potentials, J. Math. Pures Appl, 58(1979), 137-151.
    • (1979) J. Math. Pures Appl , vol.58 , pp. 137-151
    • Brezis, H.1    Kato, T.2
  • 67
    • 84941275804 scopus 로고
    • A relation between pointwise convergence of functions and convergence of functionals
    • H. Brezis and E. Lieb, A relation between pointwise convergence of functions and convergence of functionals, Proc. Amer. Math. Soc, 88(1983), 486-490.
    • (1983) Proc. Amer. Math. Soc , vol.88 , pp. 486-490
    • Brezis, H.1    Lieb, E.2
  • 68
    • 84980187504 scopus 로고
    • Forced vibrations for a nonlinear wave equation
    • H. Brezis and L. Nirenberg, Forced vibrations for a nonlinear wave equation, Comm. Pure and Applied Math., 31(1978), 1-30.
    • (1978) Comm. Pure and Applied Math. , vol.31 , pp. 1-30
    • Brezis, H.1    Nirenberg, L.2
  • 69
    • 84980148463 scopus 로고
    • Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
    • H. Brezis, J. M. Coron and L. Nirenberg, Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz, Comm. Pure and Applied Math., 33(1980), 667-689.
    • (1980) Comm. Pure and Applied Math. , vol.33 , pp. 667-689
    • Brezis, H.1    Coron, J.M.2    Nirenberg, L.3
  • 71
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • H. Brezis and L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math., 36 (1983), 437-477.
    • (1983) Comm. Pure Appl. Math. , vol.36 , pp. 437-477
    • Brezis, H.1    Nirenberg, L.2
  • 72
    • 0001074802 scopus 로고
    • Characterization of the ranges of some nonlinear operators and applications to boundary value problems
    • H. Brezis and L. Nirenberg, Characterization of the ranges of some nonlinear operators and applications to boundary value problems, Ann. Acoula Norm. Sup. Pisa CL. Sci., 5(1978), 225-326.
    • (1978) Ann. Acoula Norm. Sup. Pisa CL. Sci. , vol.5 , pp. 225-326
    • Brezis, H.1    Nirenberg, L.2
  • 73
    • 85011586206 scopus 로고
    • Minimax characterisation of solutions for a semi-linear elliptic equation with lack of compactness
    • B. Buffoni and L. Jeanjean, Minimax characterisation of solutions for a semi-linear elliptic equation with lack of compactness, Ann. Inst. H. Poincare-Analyse Nonlin., 10(1993), 377-404.
    • (1993) Ann. Inst. H. Poincare-Analyse Nonlin. , vol.10 , pp. 377-404
    • Buffoni, B.1    Jeanjean, L.2
  • 74
    • 84966228956 scopus 로고
    • Existence of nontrivial solutions to a strongly indefinite semilinear equation
    • B. Buffoni, L. Jeanjean and C.A. Stuart, Existence of nontrivial solutions to a strongly indefinite semilinear equation, Proc. Amer. Math. Soc, 119 (1993), 179-186.
    • (1993) Proc. Amer. Math. Soc , vol.119 , pp. 179-186
    • Buffoni, B.1    Jeanjean, L.2    Stuart, C.A.3
  • 75
    • 45249128146 scopus 로고
    • On nontrivial solutions of a Dirichlet problem whose jumping nonlinearity crosses a multiple eigenvalue
    • N. P. Cac, On nontrivial solutions of a Dirichlet problem whose jumping nonlinearity crosses a multiple eigenvalue, J. Diff. Eqns., 80(1989), 379-404.
    • (1989) J. Diff. Eqns. , vol.80 , pp. 379-404
    • Cac, N.P.1
  • 76
    • 0003112945 scopus 로고    scopus 로고
    • Homoclinic and Heteroclinics for a class of conservative singular Hamiltonian systems
    • P. Caldiroli and L. Jeanjean, Homoclinic and Heteroclinics for a class of conservative singular Hamiltonian systems, J. Diff. Eqns., 136(1997), 76-114.
    • (1997) J. Diff. Eqns. , vol.136 , pp. 76-114
    • Caldiroli, P.1    Jeanjean, L.2
  • 77
    • 0007280770 scopus 로고
    • A note on Palais-Smale condition and coercivity
    • L. Caklovic, S. Li and W. Willem, A note on Palais-Smale condition and coercivity, Diff. Int. Eqn., 3(1990), 799-800.
    • (1990) Diff. Int. Eqn. , vol.3 , pp. 799-800
    • Caklovic, L.1    Li, S.2    Willem, W.3
  • 78
    • 0037725106 scopus 로고    scopus 로고
    • A global compactness result for singular elliptic problems involving critical Sobolev exponent
    • D. Cao, S. Peng, A global compactness result for singular elliptic problems involving critical Sobolev exponent, Proc. Amer. Math. Soc, 131(2003), 1857-1866.
    • (2003) Proc. Amer. Math. Soc , vol.131 , pp. 1857-1866
    • Cao, D.1    Peng, S.2
  • 79
    • 0006943435 scopus 로고    scopus 로고
    • Existence of homoclinic solutions for a class of time-dependent Hamiltonian systems
    • P.C. Carriao and O.H. Miyagaki, Existence of homoclinic solutions for a class of time-dependent Hamiltonian systems, J. Math. Anal. Appl, 230(1999), 157-172.
    • (1999) J. Math. Anal. Appl , vol.230 , pp. 157-172
    • Carriao, P.C.1    Miyagaki, O.H.2
  • 80
    • 34247180978 scopus 로고    scopus 로고
    • Sign-changing and multiple solutions for the p-Laplacian
    • S. Carl and K Perera, Sign-changing and multiple solutions for the p-Laplacian, Abstr. Appl. Anal, 7(2002), 613-625.
    • (2002) Abstr. Appl. Anal , vol.7 , pp. 613-625
    • Carl, S.1    Perera, K.2
  • 81
    • 0011554578 scopus 로고
    • Reduction methods via minimax
    • A. Castro, Reduction methods via minimax. Lecture Notes in Math., 957(1982), 1-20.
    • (1982) Lecture Notes in Math. , vol.957 , pp. 1-20
    • Castro, A.1
  • 82
    • 21844513556 scopus 로고
    • Multiple solutions for a nonlinear Dirichlet problem
    • A. Castro and J. Cossio, Multiple solutions for a nonlinear Dirichlet problem, SIAM J. Math. Anal, 25(1994), 1554-1561.
    • (1994) SIAM J. Math. Anal , vol.25 , pp. 1554-1561
    • Castro, A.1    Cossio, J.2
  • 83
    • 0031372470 scopus 로고    scopus 로고
    • A sign changing solution for a superlinear Dirichlet problem
    • A. Castro, J. Cossio and J. M. Neuberger, A sign changing solution for a superlinear Dirichlet problem. Rocky Mount. J. Math., 27(1997), 1041-1053.
    • (1997) Rocky Mount. J. Math. , vol.27 , pp. 1041-1053
    • Castro, A.1    Cossio, J.2    Neuberger, J.M.3
  • 84
    • 0001333845 scopus 로고    scopus 로고
    • A minimax principle, index of the critical point, and existence of sign-changing solutions to elliptic BVPs
    • A. Castro, J. Cossio and J. M. Neuberger, A minimax principle, index of the critical point, and existence of sign-changing solutions to elliptic BVPs, E. J. Diff. Eqns., 2(1999), 18pp.
    • (1999) E. J. Diff. Eqns. , vol.2 , pp. 18
    • Castro, A.1    Cossio, J.2    Neuberger, J.M.3
  • 85
    • 0001553624 scopus 로고    scopus 로고
    • Existence of many sign-changing nonradial solutions for semilinear elliptic problems on thin annuli
    • A. Castro and M. Finan, Existence of many sign-changing nonradial solutions for semilinear elliptic problems on thin annuli, Topo. Meth. Nonlinear Anal, 13 (1999), 273-279.
    • (1999) Topo. Meth. Nonlinear Anal , vol.13 , pp. 273-279
    • Castro, A.1    Finan, M.2
  • 86
    • 0000666755 scopus 로고
    • Un criterio di esistenza per i punti critici su varieta illimitate
    • G. Cerami, Un criterio di esistenza per i punti critici su varieta illimitate. Rend. Acad. Sci. Let. 1st. Lomhardo, 112(1978), 332-336.
    • (1978) Rend. Acad. Sci. Let. 1st. Lomhardo , vol.112 , pp. 332-336
    • Cerami, G.1
  • 87
    • 0000734186 scopus 로고
    • Some existence results for superlinear elliptic boundary value problems involving critical exponents
    • G. Cerami, S. Solimini and M. Struwe, Some existence results for superlinear elliptic boundary value problems involving critical exponents, J. Funct. Anal, 69 (1986), 289-306.
    • (1986) J. Funct. Anal , vol.69 , pp. 289-306
    • Cerami, G.1    Solimini, S.2    Struwe, M.3
  • 88
    • 0035994268 scopus 로고    scopus 로고
    • On a semilinear Schrodinger equation with critical Sobolev exponent
    • J. Chabrowski and A. Szulkin, On a semilinear Schrodinger equation with critical Sobolev exponent, Proc. Amer. Math. Soc, 130(2002), 85-93.
    • (2002) Proc. Amer. Math. Soc , vol.130 , pp. 85-93
    • Chabrowski, J.1    Szulkin, A.2
  • 90
    • 0005625365 scopus 로고    scopus 로고
    • On Schrodinger equation with periodic potential and critical Sobolev exponent
    • J. Chabrowski and J. Yang, On Schrodinger equation with periodic potential and critical Sobolev exponent, Topol Meth. Nonl Anal, 12 (1998), 245-261.
    • (1998) Topol Meth. Nonl Anal , vol.12 , pp. 245-261
    • Chabrowski, J.1    Yang, J.2
  • 91
    • 0032393114 scopus 로고    scopus 로고
    • Existence theorems for the Schrodinger equation involving a critical Sobolev exponent
    • J. Chabrowski and J. Yang, Existence theorems for the Schrodinger equation involving a critical Sobolev exponent, Z. Angew. Math. Phys., 49(1998), 276-293.
    • (1998) Z. Angew. Math. Phys. , vol.49 , pp. 276-293
    • Chabrowski, J.1    Yang, J.2
  • 92
    • 84979131500 scopus 로고
    • Nontrivial periodic solutions of a nonlinear beam equation
    • F. C. Chang and L. Sanchez, Nontrivial periodic solutions of a nonlinear beam equation. Math. Meth. Appl Sci., (1982), 194-205.
    • (1982) Math. Meth. Appl Sci. , pp. 194-205
    • Chang, F.C.1    Sanchez, L.2
  • 93
    • 0000484583 scopus 로고
    • A variant of the mountain pass lemma
    • K. C. Chang, A variant of the mountain pass lemma, Scientia Sinica, 26(1983), 1241-1255.
    • (1983) Scientia Sinica , vol.26 , pp. 1241-1255
    • Chang, K.C.1
  • 95
  • 97
    • 0002544174 scopus 로고    scopus 로고
    • The Conley index and the critical groups via an extension of Gromoll-Meyer theory
    • K. C. Chang and N. Ghoussoub, The Conley index and the critical groups via an extension of Gromoll-Meyer theory, TMNA, 7(1996), 77-93.
    • (1996) TMNA , vol.7 , pp. 77-93
    • Chang, K.C.1    Ghoussoub, N.2
  • 98
    • 3042632099 scopus 로고    scopus 로고
    • Dirichlet problem with indefinite nonlinearities
    • K. C. Chang and M. Y. Jiang, Dirichlet problem with indefinite nonlinearities, Calc, Var., 20(2004), 257-282.
    • (2004) Calc, Var. , vol.20 , pp. 257-282
    • Chang, K.C.1    Jiang, M.Y.2
  • 99
    • 0000194388 scopus 로고    scopus 로고
    • Nontrivial periodic solutions for strong resonance Hamiltonian systems
    • K. C. Chang, J. Liu and M. Liu, Nontrivial periodic solutions for strong resonance Hamiltonian systems, Ann. Inst. H. Poincare-Analyse Nonlin., 14(1997), 103-117.
    • (1997) Ann. Inst. H. Poincare-Analyse Nonlin. , vol.14 , pp. 103-117
    • Chang, K.C.1    Liu, J.2    Liu, M.3
  • 100
    • 0034215638 scopus 로고    scopus 로고
    • Algorithms and visualization for solutions of nonlinear elliptic equations
    • G. Chen, W. Ni and J. Zhou, Algorithms and visualization for solutions of nonlinear elliptic equations, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 10(2000), 1565-1612.
    • (2000) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.10 , pp. 1565-1612
    • Chen, G.1    Ni, W.2    Zhou, J.3
  • 101
    • 0036002260 scopus 로고    scopus 로고
    • Deformation from symmetry and multiplicity of solutions in non-homogeneous problems
    • C. Christine and N. Ghoussoub, Deformation from symmetry and multiplicity of solutions in non-homogeneous problems. Discrete and Continuous Dynamical Systems, 8(2002), 267-281.
    • (2002) Discrete and Continuous Dynamical Systems , vol.8 , pp. 267-281
    • Christine, C.1    Ghoussoub, N.2
  • 102
    • 0002224090 scopus 로고
    • A variant of the Ljusternik-Schnirelman theory
    • D. C. Clark, A variant of the Ljusternik-Schnirelman theory, Indiana Univ. Math. J., 22(1972), 65-74.
    • (1972) Indiana Univ. Math. J. , vol.22 , pp. 65-74
    • Clark, D.C.1
  • 103
    • 0013064021 scopus 로고    scopus 로고
    • Homoclinic orbits for a class of infinite dimensional Hamiltonian systems
    • P. Clement, P. Felmer and E. Mitidieir, Homoclinic orbits for a class of infinite dimensional Hamiltonian systems, Ann. Acoula Norm. Sup. Pisa CL. Sci., 24(1997), 367-393.
    • (1997) Ann. Acoula Norm. Sup. Pisa CL. Sci. , vol.24 , pp. 367-393
    • Clement, P.1    Felmer, P.2    Mitidieir, E.3
  • 105
    • 84990569659 scopus 로고
    • Morse type index theory for fiows and periodic solutions for Hamiltonian equations
    • C. C. Conley and E. Zehnder, Morse type index theory for fiows and periodic solutions for Hamiltonian equations, Comm. Pure Appl. Math., 37(1984), 207-253.
    • (1984) Comm. Pure Appl. Math. , vol.37 , pp. 207-253
    • Conley, C.C.1    Zehnder, E.2
  • 106
    • 0002762698 scopus 로고
    • On a class of elliptic systems in Rn
    • D. G. Costa, On a class of elliptic systems in Rn, Electronic J. Diff. Eqns., 7(1994), 1-14.
    • (1994) Electronic J. Diff. Eqns. , vol.7 , pp. 1-14
    • Costa, D.G.1
  • 108
    • 0035361440 scopus 로고    scopus 로고
    • A numerical investigation of signchanging solutions to superlinear elliptic equations on symmetric domains
    • D. Costa, Z. Ding and J. Neuberger, A numerical investigation of signchanging solutions to superlinear elliptic equations on symmetric domains, J. Comput. Appl. Math., 131(2001), 299-319.
    • (2001) J. Comput. Appl. Math. , vol.131 , pp. 299-319
    • Costa, D.1    Ding, Z.2    Neuberger, J.3
  • 109
    • 0000142827 scopus 로고
    • Variational elliptic problems which are nonquadratic at infinity
    • D. G. Costa and C. A. Magalhaes, Variational elliptic problems which are nonquadratic at infinity. Nonlinear Analysis TMA, 23(1994), 1401-1412.
    • (1994) Nonlinear Analysis TMA , vol.23 , pp. 1401-1412
    • Costa, D.G.1    Magalhaes, C.A.2
  • 110
    • 4644339622 scopus 로고
    • A variational approach to subquadratic perturbations of elliptic systems
    • D. G. Costa and C. A. Magalhaes, A variational approach to subquadratic perturbations of elliptic systems, J. Diff. Eqns., 111(1994), 103-122.
    • (1994) J. Diff. Eqns. , vol.111 , pp. 103-122
    • Costa, D.G.1    Magalhaes, C.A.2
  • 111
    • 0000142827 scopus 로고
    • Variational elliptic problems which are nonquadratic at infinity
    • D. G. Costa and C. A. Magalhaes, Variational elliptic problems which are nonquadratic at infinity, Nonl Anal. TMA, 23(1994), 1401-1412.
    • (1994) Nonl Anal. TMA , vol.23 , pp. 1401-1412
    • Costa, D.G.1    Magalhaes, C.A.2
  • 112
    • 0000535581 scopus 로고
    • A variational approach to noncooperative elliptic systems
    • D. G. Costa and C. A. Magalhaes, A variational approach to noncooperative elliptic systems, Nonl. Anal. TMA, 25(1995), 699-715.
    • (1995) Nonl. Anal. TMA , vol.25 , pp. 699-715
    • Costa, D.G.1    Magalhaes, C.A.2
  • 113
    • 0030099736 scopus 로고    scopus 로고
    • A unified approach to a class of strongly indefinite functional
    • D. G. Costa and C. A. Magalhaes, A unified approach to a class of strongly indefinite functional, J. Diff. Eqns., 122(1996), 521-547.
    • (1996) J. Diff. Eqns. , vol.122 , pp. 521-547
    • Costa, D.G.1    Magalhaes, C.A.2
  • 114
    • 0000593243 scopus 로고
    • The Palais-Smale condition versus coercivity
    • D. G. Costa and E. A. B. Silva, The Palais-Smale condition versus coercivity, Nonl. Anal. TMA, 16(1991), 371-381.
    • (1991) Nonl. Anal. TMA , vol.16 , pp. 371-381
    • Costa, D.G.1    Silva, E.A.B.2
  • 115
    • 84972525403 scopus 로고
    • A note on problems involving critical Sobolev exponents
    • D. G. Costa and E. A. B. Silva, A note on problems involving critical Sobolev exponents, Diff. Int. Eqns., 8(1995), 673-679.
    • (1995) Diff. Int. Eqns. , vol.8 , pp. 673-679
    • Costa, D.G.1    Silva, E.A.B.2
  • 116
    • 0000830631 scopus 로고
    • A variational approach to homoclinic orbits in Hamiltonian systems
    • V. Coti Zelati, I. Ekeland and E. Sere, A variational approach to homoclinic orbits in Hamiltonian systems. Math. Ann., 228(1990), 133-160.
    • (1990) Math. Ann. , vol.228 , pp. 133-160
    • Coti Zelati, V.1    Ekeland, I.2    Sere, E.3
  • 117
    • 84968502322 scopus 로고
    • Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials
    • V. Coti Zelati and P. H. Rabinowitz, Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials, J. Amer. Math. Soc, 4 (1991), 693-727.
    • (1991) J. Amer. Math. Soc , vol.4 , pp. 693-727
    • Coti Zelati, V.1    Rabinowitz, P.H.2
  • 118
    • 84990556307 scopus 로고
    • Homoclinic type solutions for a semilinear elliptic PDE on Rn
    • V. Coti-Zelati and P. H. Rabinowitz, Homoclinic type solutions for a semilinear elliptic PDE on Rn, Comm. Pure Appl. Math., 45(1992), 1217-1269.
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 1217-1269
    • Coti-Zelati, V.1    Rabinowitz, P.H.2
  • 119
    • 0033589607 scopus 로고    scopus 로고
    • The beginning of the Fucik spectrum for the p-Laplacian
    • M. Cuesta, D. G. de Figueiredo and J. P. Gossez, The beginning of the Fucik spectrum for the p-Laplacian, J. Diff. Eqns., 159(1999), 212-238.
    • (1999) J. Diff. Eqns. , vol.159 , pp. 212-238
    • Cuesta, M.1    De Figueiredo, D.G.2    Gossez, J.P.3
  • 120
    • 0000559523 scopus 로고
    • On the Dirichlet problem for weakly nonlinear elliptic partial differential equations
    • E. N. Dancer, On the Dirichlet problem for weakly nonlinear elliptic partial differential equations, Proc. Royal Soc. Edinburgh, 76A(1977), 283-300.
    • (1977) Proc. Royal Soc. Edinburgh , vol.76 A , pp. 283-300
    • Dancer, E.N.1
  • 121
    • 0002071134 scopus 로고
    • Degenerate critical points, homotopy indices and Morse inequalities
    • E. N. Dancer, Degenerate critical points, homotopy indices and Morse inequalities, J. Reine Angew. Math., 350(1984), 1-22.
    • (1984) J. Reine Angew. Math. , vol.350 , pp. 1-22
    • Dancer, E.N.1
  • 122
    • 0002279801 scopus 로고
    • Multiple solutions of asymptotically homogeneous problems
    • E. N. Dancer, Multiple solutions of asymptotically homogeneous problems, Ann Math Pura Appl., 152(1988), 63-78.
    • (1988) Ann Math Pura Appl. , vol.152 , pp. 63-78
    • Dancer, E.N.1
  • 123
    • 0000102281 scopus 로고    scopus 로고
    • Remarks on jumping nonlinear it ies
    • Escher and Simonett, eds.), Birkhauser, Basel
    • E. N. Dancer, Remarks on jumping nonlinear it ies. Topics in Nonlinear Analysis, Escher and Simonett, eds.), Birkhauser, Basel, 1999, 101-115.
    • (1999) Topics in Nonlinear Analysis , pp. 101-115
    • Dancer, E.N.1
  • 125
    • 0035255552 scopus 로고    scopus 로고
    • Some remarks on the Fucik spectrum of the p-Laplacian and critical groups
    • E. N. Dancer and K. Perera, Some remarks on the Fucik spectrum of the p-Laplacian and critical groups, J. Math. Anal. Appl., 254(2001), 164-177.
    • (2001) J. Math. Anal. Appl. , vol.254 , pp. 164-177
    • Dancer, E.N.1    Perera, K.2
  • 126
    • 0001421282 scopus 로고
    • On sign-changing solutions of certain semilinear elliptic problems
    • E. N. Dancer and Y. Du, On sign-changing solutions of certain semilinear elliptic problems, Appl. Anal, 56(1995), 193-206.
    • (1995) Appl. Anal , vol.56 , pp. 193-206
    • Dancer, E.N.1    Du, Y.2
  • 127
    • 0036720904 scopus 로고    scopus 로고
    • On the profile of the changing sign mountain pass solutions for an elliptic problem
    • E. N. Dancer and S. Yan, On the profile of the changing sign mountain pass solutions for an elliptic problem. Trans. Amer. Math. Soc, 364 (2002), 3573-3600.
    • (2002) Trans. Amer. Math. Soc , vol.364 , pp. 3573-3600
    • Dancer, E.N.1    Yan, S.2
  • 128
    • 0034666914 scopus 로고    scopus 로고
    • Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with resonance at infinity
    • E. N. Dancer and Z. Zhang, Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with resonance at infinity, J. Math. Anal. Appl, 250(2000), 449-464.
    • (2000) J. Math. Anal. Appl , vol.250 , pp. 449-464
    • Dancer, E.N.1    Zhang, Z.2
  • 129
    • 0005854050 scopus 로고    scopus 로고
    • Multiple periodic solutions of asymptotically linear Hamiltonian systems
    • M. Degiovanni and L. Olian Fannio, Multiple periodic solutions of asymptotically linear Hamiltonian systems, Nonl. Anal. TMA, 26(1996), 1437-1446.
    • (1996) Nonl. Anal. TMA , vol.26 , pp. 1437-1446
    • Degiovanni, M.1    Olian Fannio, L.2
  • 130
    • 0003228182 scopus 로고
    • Ordinary differential equations in Banach spaces
    • Springer-Verlag, Berlin-New York
    • K. Deimling, Ordinary differential equations in Banach spaces. Lecture Notes in Mathematics, Vol. 596. Springer-Verlag, Berlin-New York, 1977.
    • (1977) Lecture Notes in Mathematics , vol.596
    • Deimling, K.1
  • 132
    • 0000891295 scopus 로고
    • Existence and multiciplicity results for homoclinic solutions to a class of Hamiltonian systems
    • Y. Ding, Existence and multiciplicity results for homoclinic solutions to a class of Hamiltonian systems, Nonl. Anal. TMA, 25 (1995), 1095-1113.
    • (1995) Nonl. Anal. TMA , vol.25 , pp. 1095-1113
    • Ding, Y.1
  • 133
    • 0000060673 scopus 로고
    • Periodic and homoclinic solutions to a class of hamiltonian systems with the potentials changing sign
    • Y. Ding and M. Girardi, Periodic and homoclinic solutions to a class of hamiltonian systems with the potentials changing sign, Dyn. Sys. Appl., 2 (1993), 131-145.
    • (1993) Dyn. Sys. Appl. , vol.2 , pp. 131-145
    • Ding, Y.1    Girardi, M.2
  • 134
    • 28244439717 scopus 로고
    • Homoclinic orbits for first order Hamiltonian systems
    • Y. Ding and S. Li, Homoclinic orbits for first order Hamiltonian systems, J. Math. Anal. Appl, 189 (1995), 585-601.
    • (1995) J. Math. Anal. Appl , vol.189 , pp. 585-601
    • Ding, Y.1    Li, S.2
  • 135
    • 8844287602 scopus 로고    scopus 로고
    • Multiple solutions for a class of nonlinear Schrodinger equations
    • Y. Ding and S. Luan, Multiple solutions for a class of nonlinear Schrodinger equations, J. Diff. Eqns., 207(2004), 423-457.
    • (2004) J. Diff. Eqns. , vol.207 , pp. 423-457
    • Ding, Y.1    Luan, S.2
  • 136
    • 0033243101 scopus 로고    scopus 로고
    • Homoclinic orbits of a Hamiltonian system
    • Y. Ding and M. Willem, Homoclinic orbits of a Hamiltonian system, Z. Angew. Math. Phys., 50 (1999), 759-778.
    • (1999) Z. Angew. Math. Phys. , vol.50 , pp. 759-778
    • Ding, Y.1    Willem, M.2
  • 137
    • 0033201521 scopus 로고    scopus 로고
    • A high-linking algorithm for signchanging solutions of semilinear elliptic equations
    • Z. Ding, D. Costa and G. Chen, A high-linking algorithm for signchanging solutions of semilinear elliptic equations. Nonlinear Analysis, 38(1999), 151-172.
    • (1999) Nonlinear Analysis , vol.38 , pp. 151-172
    • Ding, Z.1    Costa, D.2    Chen, G.3
  • 139
    • 0000279122 scopus 로고
    • On the existence of infinitely many solutions of the Dirichlet problem for some nonlinear elliptic equations
    • G. C. Dong and S. Li, On the existence of infinitely many solutions of the Dirichlet problem for some nonlinear elliptic equations, Sci. Sinica Ser. A 5(1982), 468-475.
    • (1982) Sci. Sinica Ser. A , vol.5 , pp. 468-475
    • Dong, G.C.1    Li, S.2
  • 140
    • 33646876246 scopus 로고    scopus 로고
    • The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems
    • D. Dong and Y. Long, The iteration formula of the Maslov-type index theory with applications to nonlinear Hamiltonian systems. Trans. AMS, 349(1997), 2619-2661.
    • (1997) Trans. AMS , vol.349 , pp. 2619-2661
    • Dong, D.1    Long, Y.2
  • 142
    • 0001494045 scopus 로고    scopus 로고
    • Resonance problems for the p-Laplacian
    • P. Drabek and S. Robinson, Resonance problems for the p-Laplacian, J. Funct. Anal., 169(1999), 189-200.
    • (1999) J. Funct. Anal. , vol.169 , pp. 189-200
    • Drabek, P.1    Robinson, S.2
  • 143
    • 84971685907 scopus 로고
    • A deformation lemma and some critical point theorems
    • Y. Du, A deformation lemma and some critical point theorems. Bull. Austral. Math. Soc, 43(1991), 161-168.
    • (1991) Bull. Austral. Math. Soc , vol.43 , pp. 161-168
    • Du, Y.1
  • 145
    • 0016092731 scopus 로고
    • On the variational principle
    • I. Ekeland, On the variational principle, J. Math. Anal. Appl., 47(1974), 324-353.
    • (1974) J. Math. Anal. Appl. , vol.47 , pp. 324-353
    • Ekeland, I.1
  • 146
    • 0035997408 scopus 로고    scopus 로고
    • Selected new aspects of the calculus of variations in the large
    • I. Ekeland and N. Ghoussoub, Selected new aspects of the calculus of variations in the large. Bull. Amer. Math. Soc. (N.S.), 39(2002), 207-265.
    • (2002) Bull. Amer. Math. Soc. (N.S.) , vol.39 , pp. 207-265
    • Ekeland, I.1    Ghoussoub, N.2
  • 147
    • 33644794189 scopus 로고    scopus 로고
    • Graduate Studies in Math. Amer. Math. Soc
    • L. C. Evans, Partial Differential Equations, Graduate Studies in Math. Vol. 19, Amer. Math. Soc, 1998.
    • (1998) Partial Differential Equations , vol.19
    • Evans, L.C.1
  • 148
    • 0001656768 scopus 로고
    • Maslov-type index and periodic solution of asymptotically linear Hamiltonian systems which are resonant at infinity
    • G. Fei, Maslov-type index and periodic solution of asymptotically linear Hamiltonian systems which are resonant at infinity, J. Diff. Eqn., 121(1995), 121-133.
    • (1995) J. Diff. Eqn. , vol.121 , pp. 121-133
    • Fei, G.1
  • 149
    • 58149220738 scopus 로고    scopus 로고
    • Nontrivial periodic solutions of asymptotically linear Hamiltonian systems
    • G. Fei, Nontrivial periodic solutions of asymptotically linear Hamiltonian systems, E. J. Diff. Eqns., 69(2001), 1-17.
    • (2001) E. J. Diff. Eqns. , vol.69 , pp. 1-17
    • Fei, G.1
  • 150
    • 21944448799 scopus 로고    scopus 로고
    • Periodic solutions of asymptotically linear Hamiltonian systems
    • G. Fei and Q. Qiu, Periodic solutions of asymptotically linear Hamiltonian systems, Chinese Ann. Math. Ser. B, 18(1997), 359-372.
    • (1997) Chinese Ann. Math. Ser. B , vol.18 , pp. 359-372
    • Fei, G.1    Qiu, Q.2
  • 151
    • 38249031492 scopus 로고
    • Time periodic solutions to a semilinear Beam equation
    • G. Feireisl, Time periodic solutions to a semilinear Beam equation, Nonl. Anal. TMA, 12(1988), 279-290.
    • (1988) Nonl. Anal. TMA , vol.12 , pp. 279-290
    • Feireisl, G.1
  • 152
    • 38249006566 scopus 로고
    • Periodic solutions of superquadratic Hamiltonian systems
    • P. Felmer, Periodic solutions of superquadratic Hamiltonian systems, J. Diff. Eqns., 102(1993), 188-207.
    • (1993) J. Diff. Eqns. , vol.102 , pp. 188-207
    • Felmer, P.1
  • 153
    • 85012922705 scopus 로고
    • Heteroclinic orbits for spatially periodic Hamiltonian systems
    • P. Felmer, Heteroclinic orbits for spatially periodic Hamiltonian systems, Ann. Inst. H. Poincare Anal. Non Lineaire, 8(1991), 477-497.
    • (1991) Ann. Inst. H. Poincare Anal. Non Lineaire , vol.8 , pp. 477-497
    • Felmer, P.1
  • 154
    • 84884796444 scopus 로고
    • Existence and uniqueness of positive solutions for certain quasilinear elliptic systems
    • P. Felmer, R. F. Manasevich and F. de Thelin, Existence and uniqueness of positive solutions for certain quasilinear elliptic systems, Comm. Par. Diff. Eqns., 17(1992), 2013-2029.
    • (1992) Comm. Par. Diff. Eqns. , vol.17 , pp. 2013-2029
    • Felmer, P.1    Manasevich, R.F.2    De Thelin, F.3
  • 155
    • 0035842856 scopus 로고    scopus 로고
    • Existence of solutions for singular critical growth semilinear elliptic equations
    • A. Ferrero and F. Gazzola, Existence of solutions for singular critical growth semilinear elliptic equations, J. Diff. Eqns., 177(2001), 494-522.
    • (2001) J. Diff. Eqns. , vol.177 , pp. 494-522
    • Ferrero, A.1    Gazzola, F.2
  • 156
    • 0010633715 scopus 로고    scopus 로고
    • Nonlinear elliptic systems
    • D. G. de Figueiredo, Nonlinear elliptic systems. An. Acad. Bras. Ci., 72(2000), 453-469.
    • (2000) An. Acad. Bras. Ci. , vol.72 , pp. 453-469
    • De Figueiredo, D.G.1
  • 158
    • 0000877966 scopus 로고    scopus 로고
    • Semilinear elliptic systems: A survey of superlinear problems
    • D. G. de Figueiredo, Semilinear elliptic systems: a survey of superlinear problems, Resenhas IME-USP, 2(1996), 373-391.
    • (1996) Resenhas IME-USP , vol.2 , pp. 373-391
    • De Figueiredo, D.G.1
  • 160
    • 0012664782 scopus 로고    scopus 로고
    • On nonquadratic Hamiltonian elliptic systems
    • D. G. de Figueiredo and C. A. Magalhaes, On nonquadratic Hamiltonian elliptic systems. Adv. Diff. Eqns., 1 (1996), 881-898.
    • (1996) Adv. Diff. Eqns. , vol.1 , pp. 881-898
    • De Figueiredo, D.G.1    Magalhaes, C.A.2
  • 161
    • 0001338152 scopus 로고
    • Semilinear elliptic equations with the primitive of the nonlinearity interacting with the first eigenvalue
    • D. G. de Figueiredo and I. Massabo, Semilinear elliptic equations with the primitive of the nonlinearity interacting with the first eigenvalue, J. Math. Anal. Appl., 156(1991), 381-394.
    • (1991) J. Math. Anal. Appl. , vol.156 , pp. 381-394
    • De Figueiredo, D.G.1    Massabo, I.2
  • 162
    • 0000105023 scopus 로고
    • A maximum principle for an elliptic system and applications to semilinear problem
    • D. G. de Figueiredo and E. Mitidieri, A maximum principle for an elliptic system and applications to semilinear problem, SIAM J. Math. Anal, 17(1986), 836-849.
    • (1986) SIAM J. Math. Anal , vol.17 , pp. 836-849
    • De Figueiredo, D.G.1    Mitidieri, E.2
  • 163
    • 0012543720 scopus 로고
    • On pairs of positive solutions for a class of semilinear elliptic problems
    • D. G. de Figueiredo and P. L. Lions, On pairs of positive solutions for a class of semilinear elliptic problems, Indiana Univ. Math. J., 34(1985), 591-606.
    • (1985) Indiana Univ. Math. J. , vol.34 , pp. 591-606
    • De Figueiredo, D.G.1    Lions, P.L.2
  • 164
    • 0032137447 scopus 로고    scopus 로고
    • Decay, symmmetry and existence of positive solutions of semilinear elliptic systems
    • D. G. de Figueiredo and J. Yang, Decay, symmmetry and existence of positive solutions of semilinear elliptic systems, Nonl Anal, TMA, 33(1998), 211-234.
    • (1998) Nonl Anal, TMA , vol.33 , pp. 211-234
    • De Figueiredo, D.G.1    Yang, J.2
  • 167
    • 0002889720 scopus 로고
    • Boundary value problems with jumping nonlinear it ies
    • S. Fucik, Boundary value problems with jumping nonlinear it ies, Casopis Pest Mat, 101 (1976), 69-87.
    • (1976) Casopis Pest Mat , vol.101 , pp. 69-87
    • Fucik, S.1
  • 168
    • 0001719684 scopus 로고
    • Resultats d'existence et de non existence pour certains problems demi lineaires a I'infini
    • T. Gallouet and O. Kavian, Resultats d'existence et de non existence pour certains problems demi lineaires a I'infini, Ann. Fac. Sci. Toulouse Math., 3(1981), 201-246.
    • (1981) Ann. Fac. Sci. Toulouse Math. , vol.3 , pp. 201-246
    • Gallouet, T.1    Kavian, O.2
  • 169
    • 0040005737 scopus 로고    scopus 로고
    • Hardy inequalities and some critical elliptic and parabolic problems
    • J. P. Garcia Azorero and I. Peral Alonso, Hardy inequalities and some critical elliptic and parabolic problems, J. Differential Equations, 144(1998), 441-476.
    • (1998) J. Differential Equations , vol.144 , pp. 441-476
    • Garcia Azorero, J.P.1    Peral Alonso, I.2
  • 171
    • 0008438705 scopus 로고
    • A min-max principle with a relaxed boundary condition
    • N. Ghoussoub, A min-max principle with a relaxed boundary condition, Proc. Amer. Math, Soc., 117(1993), 439-447.
    • (1993) Proc. Amer. Math, Soc. , vol.117 , pp. 439-447
    • Ghoussoub, N.1
  • 172
    • 23044523081 scopus 로고    scopus 로고
    • Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
    • N. Ghoussoub and C. Yuan, Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents. Trans. Amer. Math. Soc, 352(2000), 5703-5743.
    • (2000) Trans. Amer. Math. Soc , vol.352 , pp. 5703-5743
    • Ghoussoub, N.1    Yuan, C.2
  • 173
    • 84891386574 scopus 로고
    • Homoclinic orbits on noncompact Riemannian manifolds for second order Hamiltonian systems
    • F. Giannoni, L. Jeanjean and K. Tanaka, Homoclinic orbits on noncompact Riemannian manifolds for second order Hamiltonian systems. Rend. Sem. Mat Univ. Padova, 3(1995), 153-176.
    • (1995) Rend. Sem. Mat Univ. Padova , vol.3 , pp. 153-176
    • Giannoni, F.1    Jeanjean, L.2    Tanaka, K.3
  • 175
    • 0001381644 scopus 로고
    • On differentiable functions with isolated critical points
    • D. Gromoll and W. Meyer, On differentiable functions with isolated critical points. Topology, 8(1969), 361-369.
    • (1969) Topology , vol.8 , pp. 361-369
    • Gromoll, D.1    Meyer, W.2
  • 176
    • 0141986841 scopus 로고    scopus 로고
    • An introduction to minimax theorems and their applications to differential equations
    • Kluwer Academic Publishers
    • M. R. Grossinho and S. A. Tersian, An introduction to minimax theorems and their applications to differential equations, Nonconvex optimization and its applications. Vol. 52, Kluwer Academic Publishers, 2001.
    • (2001) Nonconvex Optimization and Its Applications. , vol.52
    • Grossinho, M.R.1    Tersian, S.A.2
  • 178
    • 0035455013 scopus 로고    scopus 로고
    • Nontrivial periodic solutions for asymptotically linear Hamiltonian systems with resonance
    • Y. Guo, Nontrivial periodic solutions for asymptotically linear Hamiltonian systems with resonance, J. Diff. Eqns., 175(2001), 71-87.
    • (2001) J. Diff. Eqns. , vol.175 , pp. 71-87
    • Guo, Y.1
  • 179
    • 0001327974 scopus 로고
    • Free Ljusternik-Schnirelman theory and the bifurcation diagrams of certain singular nonlinear systems
    • H. P. Heinz, Free Ljusternik-Schnirelman theory and the bifurcation diagrams of certain singular nonlinear systems, J. Diff. Eqns., 1987, 263-300.
    • (1987) J. Diff. Eqns. , pp. 263-300
    • Heinz, H.P.1
  • 180
    • 0040898169 scopus 로고
    • Bifurcation from the essential spectrum for nonlinear perturbations of Hill's equation
    • (ed. S. Elaydi) Marcel Dekker, New York
    • H. P. Heinz, Bifurcation from the essential spectrum for nonlinear perturbations of Hill's equation, in 'Differential Equations-Stability and Contror(ed. S. Elaydi), Marcel Dekker, New York, (1990), 219-226.
    • (1990) Differential Equations-Stability and Contror , pp. 219-226
    • Heinz, H.P.1
  • 181
    • 84974487847 scopus 로고
    • Lacunary bifurcation for operator equations and nonlinear boundary value problems on Rn
    • H. P. Heinz, Lacunary bifurcation for operator equations and nonlinear boundary value problems on Rn, Proc. Royal Soc. Edinburgh, 118(1991), 237-270.
    • (1991) Proc. Royal Soc. Edinburgh , vol.118 , pp. 237-270
    • Heinz, H.P.1
  • 182
    • 0002470216 scopus 로고
    • Existence and bifurcation of solutions for nonlinear perturbation of the periodic Schrodinger equation
    • H. P. Heinz, T. Küpper and C. A. Stuart, Existence and bifurcation of solutions for nonlinear perturbation of the periodic Schrodinger equation, J. Diff. Eqns., 100(1992), 341-354.
    • (1992) J. Diff. Eqns. , vol.100 , pp. 341-354
    • Heinz, H.P.1    Küpper, T.2    Stuart, C.A.3
  • 183
    • 0011047297 scopus 로고
    • Solvability of nonlinear equations in spectral gap of the linearisation
    • H. P. Heinz and C. A. Stuart, Solvability of nonlinear equations in spectral gap of the linearisation, Nonl. Anal. TMA, 19(1992), 145-165.
    • (1992) Nonl. Anal. TMA , vol.19 , pp. 145-165
    • Heinz, H.P.1    Stuart, C.A.2
  • 184
    • 0037308951 scopus 로고    scopus 로고
    • Existence of infinitely many solutions for sublinear ellitic problems
    • N. Hirano, Existence of infinitely many solutions for sublinear ellitic problems, J. Math. Anal. Appl., 278(2003), 83-92.
    • (2003) J. Math. Anal. Appl. , vol.278 , pp. 83-92
    • Hirano, N.1
  • 185
    • 0012157154 scopus 로고    scopus 로고
    • Morse theory without (PS) condition at isolated value and strong resonance problems
    • N. Hirano, S. Li and Z. Q. Wang, Morse theory without (PS) condition at isolated value and strong resonance problems, Cal. Var., 10(2000), 223-247.
    • (2000) Cal. Var. , vol.10 , pp. 223-247
    • Hirano, N.1    Li, S.2    Wang, Z.Q.3
  • 186
    • 38249001107 scopus 로고
    • Multiplicity results for semilinear elliptic problems at resonance and with jumping nonlinearities
    • N. Hirano and T. Nishimura, Multiplicity results for semilinear elliptic problems at resonance and with jumping nonlinearities, J. Math. Anal. Appl., 180(1993), 566-586.
    • (1993) J. Math. Anal. Appl. , vol.180 , pp. 566-586
    • Hirano, N.1    Nishimura, T.2
  • 187
    • 84967791499 scopus 로고
    • On strongly indefinite functional with applications
    • H. Hofer, On strongly indefinite functional with applications. Trans. Amer. Math. Soc, 275(1983), 185-214.
    • (1983) Trans. Amer. Math. Soc , vol.275 , pp. 185-214
    • Hofer, H.1
  • 188
    • 0001093993 scopus 로고
    • First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems
    • H. Hofer and K. Wysocki, First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems. Math. Ann., 228 (1990), 483-503.
    • (1990) Math. Ann. , vol.228 , pp. 483-503
    • Hofer, H.1    Wysocki, K.2
  • 189
    • 0002932245 scopus 로고
    • Differential systems with strongly indefinite variational structure
    • J. Hulshof and R. van der Vorst, Differential systems with strongly indefinite variational structure, J. Funct. Anal., 114(1993), 32-58.
    • (1993) J. Funct. Anal. , vol.114 , pp. 32-58
    • Hulshof, J.1    Vorst Der R.Van2
  • 190
    • 0036778830 scopus 로고    scopus 로고
    • Equivariant Conley index in Hilbert spaces and applications to strongly indefinite problems
    • M. Izydorek, Equivariant Conley index in Hilbert spaces and applications to strongly indefinite problems, Nonl Anal TMA, 51(2002), 33-66.
    • (2002) Nonl Anal TMA , vol.51 , pp. 33-66
    • Izydorek, M.1
  • 191
    • 2142672943 scopus 로고    scopus 로고
    • On the existence of bounded Palais-Smale sequences and applications to a Landesman-Lazer type problem
    • L. Jeanjean, On the existence of bounded Palais-Smale sequences and applications to a Landesman-Lazer type problem, Proc. Roy. Soc. Edinburgh A, 129 (1999), 787-809.
    • (1999) Proc. Roy. Soc. Edinburgh A , vol.129 , pp. 787-809
    • Jeanjean, L.1
  • 192
    • 0002154994 scopus 로고
    • Solutions in spectral gaps for a nonlinear equation of Schrodinger type
    • L. Jeanjean, Solutions in spectral gaps for a nonlinear equation of Schrodinger type, J. Diff. Equations, 112 (1994), 53-80.
    • (1994) J. Diff. Equations , vol.112 , pp. 53-80
    • Jeanjean, L.1
  • 193
    • 0033269302 scopus 로고    scopus 로고
    • Local conditions insuring bifurcation from the continuous spectrum
    • L. Jeanjean, Local conditions insuring bifurcation from the continuous spectrum. Math. Z., 232(1999), 651-664.
    • (1999) Math. Z. , vol.232 , pp. 651-664
    • Jeanjean, L.1
  • 195
    • 0036414880 scopus 로고    scopus 로고
    • A positive solution for an asymptotically linear elliptic problems on Rn autonomous at infinity
    • L. Jeanjean and K. Tanaka, A positive solution for an asymptotically linear elliptic problems on Rn autonomous at infinity, ESAIM Control Optim. Calc. Var., 7(2002), 597-614.
    • (2002) ESAIM Control Optim. Calc. Var. , vol.7 , pp. 597-614
    • Jeanjean, L.1    Tanaka, K.2
  • 196
    • 0037484917 scopus 로고    scopus 로고
    • Bounded palais-smale mountain-pass sequence
    • L. Jeanjean and J. F. Toland, Bounded Palais-Smale Mountain-Pass sequence, C. R. Acad. Sci. Paris, 327(1998), 23-28.
    • (1998) C. R. Acad. Sci. Paris , vol.327 , pp. 23-28
    • Jeanjean, L.1    Toland, J.F.2
  • 197
    • 84891387362 scopus 로고    scopus 로고
    • Periodic solutions of second order superquadratic Hamiltonian systems with potential changing sing (I, II)
    • (to appear)
    • M. Jiang, Periodic solutions of second order superquadratic Hamiltonian systems with potential changing sing (I, II), J. Diff. Eqns., (to appear).
    • J. Diff. Eqns.
    • Jiang, M.1
  • 199
    • 0011468486 scopus 로고
    • On solvability of equations of the 4th order with jumping nonlinear it ies
    • P. Krejci, On solvability of equations of the 4th order with jumping nonlinear it ies, Cas. pest, met., 108(1983), 29-39.
    • (1983) Cas. Pest, Met. , vol.108 , pp. 29-39
    • Krejci, P.1
  • 200
    • 21744451109 scopus 로고    scopus 로고
    • An infinite dimensional Morse theory with applications
    • W. Kryszewski and A. Szulkin, An infinite dimensional Morse theory with applications. Trans. Amer. Math. Soc, 349(1997), 3181-3234.
    • (1997) Trans. Amer. Math. Soc , vol.349 , pp. 3181-3234
    • Kryszewski, W.1    Szulkin, A.2
  • 201
    • 0001691788 scopus 로고    scopus 로고
    • Generalized linking theorem with an application to a semilinear Schrodinger equation
    • W. Kryszewski and A. Szulkin, Generalized linking theorem with an application to a semilinear Schrodinger equation. Adv. Diff. Eqns., 3 (1998), 441-472.
    • (1998) Adv. Diff. Eqns. , vol.3 , pp. 441-472
    • Kryszewski, W.1    Szulkin, A.2
  • 203
    • 0038065815 scopus 로고
    • Introduction to multiplicity theory for boundary value problems with asymmetric nonlinearities
    • F. Cardos at al, Eds., Lecture Notes in Math. Springer N. Y.
    • A. C. Lazer, Introduction to multiplicity theory for boundary value problems with asymmetric nonlinearities. Partial Diff. Eqns., F. Cardos at al, Eds., Lecture Notes in Math., 1324(1988), Springer N. Y., 137-165.
    • (1988) Partial Diff. Eqns. , vol.1324 , pp. 137-165
    • Lazer, A.C.1
  • 204
    • 0000115619 scopus 로고
    • Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues, i
    • A. C. Lazer and P. J. Mckenna, Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues, I Comm. in Partial Diff. Equns., 10 (1985), 107-150
    • (1985) Comm. in Partial Diff. Equns. , vol.10 , pp. 107-150
    • Lazer, A.C.1    McKenna, P.J.2
  • 205
    • 0000401172 scopus 로고
    • Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues, II
    • A. C. Lazer and P. J. Mckenna, Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues, II Comm. Partial Diff. Equns., 11 (1986), 1653-1676.
    • (1986) Comm. Partial Diff. Equns. , vol.11 , pp. 1653-1676
    • Lazer, A.C.1    McKenna, P.J.2
  • 206
    • 0025546181 scopus 로고
    • Large amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis
    • A. C. Lazer and P. J. Mckenna, Large amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis, SIAM Rev., 32(1990), 537-578.
    • (1990) SIAM Rev. , vol.32 , pp. 537-578
    • Lazer, A.C.1    McKenna, P.J.2
  • 207
    • 0025800809 scopus 로고
    • Nonlinear flexings in a periodically forced floating beam
    • A. C. Lazer and P. J. Mckenna, Nonlinear flexings in a periodically forced floating beam. Math. Methods Appl. Sci., 14(1991), 1-33.
    • (1991) Math. Methods Appl. Sci. , vol.14 , pp. 1-33
    • Lazer, A.C.1    McKenna, P.J.2
  • 208
    • 0000302191 scopus 로고
    • Nontrivial solutions of operator equations and Morse indices of critical points of min-max type
    • A. C. Lazer and S. Solimini, Nontrivial solutions of operator equations and Morse indices of critical points of min-max type, Nonl. Anal. TMA, 12(1988), 761-775.
    • (1988) Nonl. Anal. TMA , vol.12 , pp. 761-775
    • Lazer, A.C.1    Solimini, S.2
  • 209
    • 0036862199 scopus 로고    scopus 로고
    • An asymptotically periodic Schrodinger equation with indeflnite linear part
    • G. Li and A. Szulkin, An asymptotically periodic Schrodinger equation with indeflnite linear part, Commun. Contemp. Math., 4(2002), 763-776.
    • (2002) Commun. Contemp. Math. , vol.4 , pp. 763-776
    • Li, G.1    Szulkin, A.2
  • 210
    • 0000538029 scopus 로고
    • On the Schrodinger equation and the eigenvalue problem
    • P. Li and S. T. Yau, On the Schrodinger equation and the eigenvalue problem, Comm. Math. Phys., 88(1983), 309-318.
    • (1983) Comm. Math. Phys. , vol.88 , pp. 309-318
    • Li, P.1    Yau, S.T.2
  • 212
    • 0001386631 scopus 로고    scopus 로고
    • Computation of critical groups at degenerate critical point and applications to nonlinear differential equations with resonance
    • S. Li and J. Liu, Computation of critical groups at degenerate critical point and applications to nonlinear differential equations with resonance, Houston J. Math., 25(1999), 563-582.
    • (1999) Houston J. Math. , vol.25 , pp. 563-582
    • Li, S.1    Liu, J.2
  • 213
    • 0003106929 scopus 로고
    • Morse theory and asymptotic linear Hamiltonian systems
    • S. Li and J. Liu, Morse theory and asymptotic linear Hamiltonian systems, J. Diff. Eqns., 78(1989), 53-73.
    • (1989) J. Diff. Eqns. , vol.78 , pp. 53-73
    • Li, S.1    Liu, J.2
  • 214
    • 0036568068 scopus 로고    scopus 로고
    • On the role played by the Fucik spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist
    • S. Li, K. Perera and J. Su, On the role played by the Fucik spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist, Nonl. Anal. TMA, 49(2002), 603-611.
    • (2002) Nonl. Anal. TMA , vol.49 , pp. 603-611
    • Li, S.1    Perera, K.2    Su, J.3
  • 215
    • 0000926585 scopus 로고
    • Periodic solutions of an asymptotically linear wave equation
    • S. Li and A. Szulkin, Periodic solutions of an asymptotically linear wave equation, Topol. Meth. Nonl. Anal, 1(1993), 211-230.
    • (1993) Topol. Meth. Nonl. Anal , vol.1 , pp. 211-230
    • Li, S.1    Szulkin, A.2
  • 216
    • 0001690547 scopus 로고
    • Periodic solutions for a class of nonautonomous Hamiltonian systems
    • S. Li and A. Szulkin, Periodic solutions for a class of nonautonomous Hamiltonian systems, J. Diff. Eqns., 112 (1994), 226-238.
    • (1994) J. Diff. Eqns. , vol.112 , pp. 226-238
    • Li, S.1    Szulkin, A.2
  • 217
    • 0036702017 scopus 로고    scopus 로고
    • Ljusternik-Schnirelman theory in partially ordered Hilbert spaces
    • S. Li and Z. Q. Wang, Ljusternik-Schnirelman theory in partially ordered Hilbert spaces, Tran. Amer. Math. Soc, 354 (2002), 3207-3227.
    • (2002) Tran. Amer. Math. Soc , vol.354 , pp. 3207-3227
    • Li, S.1    Wang, Z.Q.2
  • 218
    • 0000776333 scopus 로고    scopus 로고
    • Mountain Pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems
    • S. Li and Z. Q. Wang, Mountain Pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems, J. d' Analyse Math., 81(2000), 373-396.
    • (2000) J. d'Analyse Math. , vol.81 , pp. 373-396
    • Li, S.1    Wang, Z.Q.2
  • 219
    • 0003361352 scopus 로고
    • Applications of local linking to critical point theory
    • S. Li and M. Willem, Applications of local linking to critical point theory, J. Math. Anal. Appl, 189(1995), 6-32.
    • (1995) J. Math. Anal. Appl , vol.189 , pp. 6-32
    • Li, S.1    Willem, M.2
  • 220
    • 0010601139 scopus 로고    scopus 로고
    • The computations of the critical groups with an application to elliptic resonant problem at higher eigenvalue
    • S. Li and W. Zou, The computations of the critical groups with an application to elliptic resonant problem at higher eigenvalue, J. Math. Anal. Appl, 235(1999), 237-257.
    • (1999) J. Math. Anal. Appl , vol.235 , pp. 237-257
    • Li, S.1    Zou, W.2
  • 221
    • 0032092188 scopus 로고    scopus 로고
    • Remarks on a class of elliptic problems with critical Sobolev exponants
    • S. Li and W. Zou Remarks on a class of elliptic problems with critical Sobolev exponants, Nonlinear Analysis, TMA, 32(1998), 769-774.
    • (1998) Nonlinear Analysis, TMA , vol.32 , pp. 769-774
    • Li, S.1    Zou, W.2
  • 222
    • 0346118268 scopus 로고
    • On a nonlinear elliptic eigenvalue problem
    • Y. Li, On a nonlinear elliptic eigenvalue problem, J. Diff. Eqns., 117(1995), 151-164.
    • (1995) J. Diff. Eqns. , vol.117 , pp. 151-164
    • Li, Y.1
  • 223
    • 0348009680 scopus 로고
    • Three solutions of a semilinear elliptic eigenvalue problem
    • Y. Li, Three solutions of a semilinear elliptic eigenvalue problem. Acta Math. Sinica, 11(1995), 142-152.
    • (1995) Acta Math. Sinica , vol.11 , pp. 142-152
    • Li, Y.1
  • 224
    • 84990553289 scopus 로고
    • On -Ai = K{x)u in Rn
    • Y. Y. Li, On -Ai = K{x)u in Rn, Comm. Pure Appl. Math., 46(1993), 303-340.
    • (1993) Comm. Pure Appl. Math. , vol.46 , pp. 303-340
    • Li, Y.Y.1
  • 225
    • 0001675486 scopus 로고
    • Prescribing scalar curvature on Sn and related problems. Part i
    • Y. Y. Li, Prescribing scalar curvature on Sn and related problems. Part I, J. Diff. Equations, 120(1995), 319-410.
    • (1995) J. Diff. Equations , vol.120 , pp. 319-410
    • Li, Y.Y.1
  • 227
    • 0001751654 scopus 로고
    • On the existence of positive solutions of semilinear elliptic equations
    • P.L. Lions, On the existence of positive solutions of semilinear elliptic equations, SIAM Review, 24(1982), 441-467.
    • (1982) SIAM Review , vol.24 , pp. 441-467
    • Lions, P.L.1
  • 228
    • 85030719142 scopus 로고
    • The concentration-compactness principle in the calculus of variations. The locally compact case. Part II
    • P L. Lions, The concentration-compactness principle in the calculus of variations. The locally compact case. Part II, Ann. Inst. H. Poincare, Analyse nonlineaire, 1(1984), 223-283.
    • (1984) Ann. Inst. H. Poincare, Analyse Nonlineaire , vol.1 , pp. 223-283
    • Lions, P.L.1
  • 229
    • 84891473314 scopus 로고    scopus 로고
    • Iteration theory of Maslov-type index and its applications
    • Morningside center of Math., Beijing (Editors: H. Brezis, S. Li, J. Liu and P. Rabinowitz; Inter. Press
    • C. Liu, Iteration theory of Maslov-type index and its applications, Proc. of the workshop on Morse theory, mimimax theory and their appl. to nonlinear diff. eqns., Morningside center of Math., Beijing, 1999. (Editors: H. Brezis, S. Li, J. Liu and P. Rabinowitz; Inter. Press), 125-137.
    • (1999) Proc. of the Workshop on Morse Theory, Mimimax Theory and Their Appl. to Nonlinear Diff. Eqns. , pp. 125-137
    • Liu, C.1
  • 231
    • 0036833033 scopus 로고    scopus 로고
    • Free vibrations for an asymmetric beam equation
    • J. Liu, Free vibrations for an asymmetric beam equation, Nonl. Anal. TMA, 51(2002), 487-497.
    • (2002) Nonl. Anal. TMA , vol.51 , pp. 487-497
    • Liu, J.1
  • 232
    • 0346970674 scopus 로고    scopus 로고
    • Free vibrations for an asymmetric beam equation, II
    • J. Liu, Free vibrations for an asymmetric beam equation, II, Nonl Anal TMA, 56(2004), 415-432.
    • (2004) Nonl Anal TMA , vol.56 , pp. 415-432
    • Liu, J.1
  • 233
    • 0000661856 scopus 로고
    • Some existence theorems on multiple critical points and their applications
    • J. Liu and S. Li, Some existence theorems on multiple critical points and their applications, Kexue Tonghao, 17(1984), 1025-1027.
    • (1984) Kexue Tonghao , vol.17 , pp. 1025-1027
    • Liu, J.1    Li, S.2
  • 234
    • 33644627554 scopus 로고    scopus 로고
    • The existence of multiple solutions to quasilinear elliptic equations
    • J. Liu and S. Liu, The existence of multiple solutions to quasilinear elliptic equations. Bull. London Math. Soc, 37(2005), 592-600.
    • (2005) Bull. London Math. Soc , vol.37 , pp. 592-600
    • Liu, J.1    Liu, S.2
  • 235
    • 0036604836 scopus 로고    scopus 로고
    • Calculating critical groups of solutions for elliptic problem with jumping nonlinearity
    • J. Liu and S. Wu, Calculating critical groups of solutions for elliptic problem with jumping nonlinearity, Nonl. Anal. TMA, 49(2002), 779-797.
    • (2002) Nonl. Anal. TMA , vol.49 , pp. 779-797
    • Liu, J.1    Wu, S.2
  • 236
    • 0013174368 scopus 로고    scopus 로고
    • Positive solutions of elliptic boundary value problems without the (PS) type assumption
    • Z. Liu, S. Li and Z. Q. Wang, Positive solutions of elliptic boundary value problems without the (PS) type assumption, Indiana Univ. Math. J., 50(2001), 1347-1369.
    • (2001) Indiana Univ. Math. J. , vol.50 , pp. 1347-1369
    • Liu, Z.1    Li, S.2    Wang, Z.Q.3
  • 237
    • 10944244256 scopus 로고    scopus 로고
    • On the Ambrosetti-Rabinowitz superlinear condition
    • Z. Liu and Z. Wang, On the Ambrosetti-Rabinowitz superlinear condition. Adv. Nonl. Stud., 4(2004), 251-272.
    • (2004) Adv. Nonl. Stud. , vol.4 , pp. 251-272
    • Liu, Z.1    Wang, Z.2
  • 239
    • 0001000911 scopus 로고
    • Multiple solutions of perturbed superquadratic second order Hamiltonian systems
    • Y. Long, Multiple solutions of perturbed superquadratic second order Hamiltonian systems. Trans. Amer. Math. Soc, 311(1989), 749-780.
    • (1989) Trans. Amer. Math. Soc , vol.311 , pp. 749-780
    • Long, Y.1
  • 240
    • 0001043584 scopus 로고
    • Maslov-type index theory and asymptotically linear Hamiltonian systems
    • Shiraiwa ed. World Sci.
    • Y. Long, Maslov-type index theory and asymptotically linear Hamiltonian systems. In Dyna. Syst. and Rel. Topics. Shiraiwa ed. World Sci. 1991, 333-341.
    • (1991) Dyna. Syst. and Rel. Topics , pp. 333-341
    • Long, Y.1
  • 241
    • 0001630228 scopus 로고
    • Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems
    • Y. Long, Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems. Science in China (Ser. A), 33(1990), 1409-1419.
    • (1990) Science in China (Ser. A) , vol.33 , pp. 1409-1419
    • Long, Y.1
  • 243
    • 0034230658 scopus 로고    scopus 로고
    • Periodic solutions for a class of nonautonomous Hamiltonian systems
    • Y. Long and X. Xu, Periodic solutions for a class of nonautonomous Hamiltonian systems, Nonl. Anal. TMA, 41(2000), 455-463.
    • (2000) Nonl. Anal. TMA , vol.41 , pp. 455-463
    • Long, Y.1    Xu, X.2
  • 244
    • 0002182215 scopus 로고
    • Morse theory for forced oscillations of asymptotically linear Hamiltonian systems
    • Proc. of Conf. in Asconal/ Locarno, Switzerland, Edited by S. Albeverio and others. World Sci.
    • Y. Long and E. Zehnder, Morse theory for forced oscillations of asymptotically linear Hamiltonian systems. In "Stochastic process. Physics and geometry", Proc. of Conf. in Asconal/ Locarno, Switzerland, Edited by S. Albeverio and others. World Sci., 1990, 528-563.
    • (1990) Stochastic Process. Physics and Geometry , pp. 528-563
    • Long, Y.1    Zehnder, E.2
  • 246
    • 0000434804 scopus 로고
    • Nontrivial periodic solutions for an asymptotically linear beam equation
    • D. Lupo and A. M. Micheletti, Nontrivial periodic solutions for an asymptotically linear beam equation, Dynam. Syst. Appl., 4(1995), 147-155.
    • (1995) Dynam. Syst. Appl. , vol.4 , pp. 147-155
    • Lupo, D.1    Micheletti, A.M.2
  • 247
    • 0030579551 scopus 로고    scopus 로고
    • Two applications of a three critical points theorem
    • D. Lupo and A. M. Micheletti, Two applications of a three critical points theorem, J. Diff. Eqns., 132(1996), 222-238.
    • (1996) J. Diff. Eqns. , vol.132 , pp. 222-238
    • Lupo, D.1    Micheletti, A.M.2
  • 248
    • 0011465311 scopus 로고
    • Semilinear elliptic problem with crossing of multiple eigenvalues
    • C. A. Magalhaes, Semilinear elliptic problem with crossing of multiple eigenvalues, Comm. Part Diff. Eqns., 15(1990), 1265-1292.
    • (1990) Comm. Part Diff. Eqns. , vol.15 , pp. 1265-1292
    • Magalhaes, C.A.1
  • 249
    • 84972541444 scopus 로고
    • Multiplicity results for a semilinear elliptic problems with crossing of multiple eigenvalues
    • C. A. Magalhaes, Multiplicity results for a semilinear elliptic problems with crossing of multiple eigenvalues, Diff. Int. Eqns., 4(1991), 129-136.
    • (1991) Diff. Int. Eqns. , vol.4 , pp. 129-136
    • Magalhaes, C.A.1
  • 250
    • 0031341824 scopus 로고    scopus 로고
    • An example of the Fucik spectrum
    • C. A. Margulies and W. Margulies, An example of the Fucik spectrum, Nonl. Anal. TMA, 29(1997), 1373-1378.
    • (1997) Nonl. Anal. TMA , vol.29 , pp. 1373-1378
    • Margulies, C.A.1    Margulies, W.2
  • 251
    • 0001379377 scopus 로고    scopus 로고
    • Some variational theorems of mixed type and elliptic problems with jumping nonlinearities
    • A. Marino and C. Saccon, Some variational theorems of mixed type and elliptic problems with jumping nonlinearities, Ann. Scuola Norm. Sup. Pisa CI. Sci. (4), XXV(1997), 631-665.
    • (1997) Ann. Scuola Norm. Sup. Pisa CI. Sci. (4) , vol.25 , pp. 631-665
    • Marino, A.1    Saccon, C.2
  • 253
    • 84974441151 scopus 로고
    • A remark on the resonance set for a semilinear elliptic equation
    • A. M. Micheletti, A remark on the resonance set for a semilinear elliptic equation, Proc. Roy. Soc. Edinb. Sect, A 124(1994), 803-809.
    • (1994) Proc. Roy. Soc. Edinb. Sect, A , vol.124 , pp. 803-809
    • Micheletti, A.M.1
  • 254
    • 6344251814 scopus 로고
    • A note on the resonance set for a semilinear elliptic equation and an application to jumping nonlinearities
    • A. M. Micheletti and A. A. Pistoia, A note on the resonance set for a semilinear elliptic equation and an application to jumping nonlinearities, Topol. Meth. Nonl. Anal, 6(1995), 67-80.
    • (1995) Topol. Meth. Nonl. Anal , vol.6 , pp. 67-80
    • Micheletti, A.M.1    Pistoia, A.A.2
  • 255
    • 6344286385 scopus 로고    scopus 로고
    • On the Fucik spectrum of the p-Laplacian
    • A. M. Micheletti and A. A. Pistoia, On the Fucik spectrum of the p-Laplacian, Diff. Int Eqns., 14(2001), 867-882.
    • (2001) Diff. Int Eqns. , vol.14 , pp. 867-882
    • Micheletti, A.M.1    Pistoia, A.A.2
  • 256
    • 0042325279 scopus 로고    scopus 로고
    • Nontrivial solutions for a floating beam equation
    • A. M. Micheletti, A. A. Pistoia and C. Saccon, Nontrivial solutions for a floating beam equation, Ricerche Mat., 48 (1999), 187-197.
    • (1999) Ricerche Mat. , vol.48 , pp. 187-197
    • Micheletti, A.M.1    Pistoia, A.A.2    Saccon, C.3
  • 257
    • 0013431417 scopus 로고    scopus 로고
    • Multiple nontrivial solutions for a floating beam equation via critical point theory
    • A. M. Micheletti and C. Saccon, Multiple nontrivial solutions for a floating beam equation via critical point theory, J. Diff. Eqns., 170(2001), 157-179.
    • (2001) J. Diff. Eqns. , vol.170 , pp. 157-179
    • Micheletti, A.M.1    Saccon, C.2
  • 258
    • 0004190360 scopus 로고
    • Princeton Univ. Press, Princeton
    • J. Milnor, Morse Theory, Princeton Univ. Press, Princeton, 1963.
    • (1963) Morse Theory
    • Milnor, J.1
  • 259
    • 0003734416 scopus 로고
    • Relations between the critical points of a real funtion of n independent variables
    • M. Morse, Relations between the critical points of a real funtion of n independent variables. Trans. Amer. Math. Soc, 27(1925), 345-396.
    • (1925) Trans. Amer. Math. Soc , vol.27 , pp. 345-396
    • Morse, M.1
  • 260
    • 1842857898 scopus 로고
    • A theory of degree of mapping based on inflnitesimal analysis
    • M. Nagumo, A theory of degree of mapping based on inflnitesimal analysis, Amer. J. Math., 73(1951), 485-496.
    • (1951) Amer. J. Math. , vol.73 , pp. 485-496
    • Nagumo, M.1
  • 261
    • 10944255349 scopus 로고
    • A note on the theory of degree of mapping in Euclidean space
    • M. Nagumo, A note on the theory of degree of mapping in Euclidean space, Osaka Math. J., 4(1952), 1-5.
    • (1952) Osaka Math. J. , vol.4 , pp. 1-5
    • Nagumo, M.1
  • 262
    • 0000973918 scopus 로고
    • On elliptic partial differential equations
    • L. Nirenberg, On elliptic partial differential equations, Ann. Scuola Norm. Sup. Pisa., 13(1959), 115-162.
    • (1959) Ann. Scuola Norm. Sup. Pisa. , vol.13 , pp. 115-162
    • Nirenberg, L.1
  • 264
    • 84966200432 scopus 로고
    • Variational and topological methods in nonlinear problemss
    • L. Nirenberg, Variational and topological methods in nonlinear problemss. Bull. Amer. Math, Soc., 4(1981), 267-302.
    • (1981) Bull. Amer. Math, Soc. , vol.4 , pp. 267-302
    • Nirenberg, L.1
  • 266
    • 0001831970 scopus 로고    scopus 로고
    • A numerical method for finding sign-changing solutions of superlinear Dirichlet problems
    • J. M. Neuberger, A numerical method for finding sign-changing solutions of superlinear Dirichlet problems. Nonlinear World, 4(1997), 73-83.
    • (1997) Nonlinear World , vol.4 , pp. 73-83
    • Neuberger, J.M.1
  • 268
    • 0000520530 scopus 로고
    • Homoclinic orbits for a class of Hamiltonian systems
    • W. Omana and M. Willem, Homoclinic orbits for a class of Hamiltonian systems, Diff. Int. Eqns., 5 (1992), 1115-1120.
    • (1992) Diff. Int. Eqns. , vol.5 , pp. 1115-1120
    • Omana, W.1    Willem, M.2
  • 269
    • 0001386011 scopus 로고
    • Morse theory on Hilbert manifolds
    • R. Palais, Morse theory on Hilbert manifolds. Topology, 2(1963), 299-340.
    • (1963) Topology , vol.2 , pp. 299-340
    • Palais, R.1
  • 270
    • 49949142757 scopus 로고
    • Ljusternik-Schnirelman theory on Banach manifolds
    • R. Palais, Ljusternik-Schnirelman theory on Banach manifolds. Topology, 5(1966), 115-132.
    • (1966) Topology , vol.5 , pp. 115-132
    • Palais, R.1
  • 271
    • 0001156234 scopus 로고
    • Homology theory of infinite dimensional manifolds
    • R. Palais, Homology theory of infinite dimensional manifolds. Topology, 5(1966), 1-16.
    • (1966) Topology , vol.5 , pp. 1-16
    • Palais, R.1
  • 272
  • 273
    • 0032167164 scopus 로고    scopus 로고
    • On a semilinear Schrodinger equation with periodic potential
    • A. A. Pankov and K. Pflüger, On a semilinear Schrodinger equation with periodic potential Nonl. Anal. 33(1998), 593-609.
    • (1998) Nonl. Anal. , vol.33 , pp. 593-609
    • Pankov, A.A.1    Pflüger, K.2
  • 274
    • 0346278146 scopus 로고    scopus 로고
    • Multiple homoclinic orbits for a class of Hamiltonian systems
    • E. Paturel, Multiple homoclinic orbits for a class of Hamiltonian systems, Calc. Var., 12(2001), 117-143.
    • (2001) Calc. Var. , vol.12 , pp. 117-143
    • Paturel, E.1
  • 275
    • 0031563738 scopus 로고    scopus 로고
    • Critical groups of pairs of critical points produced by linking subsets
    • K. Perera, Critical groups of pairs of critical points produced by linking subsets, J. Differential Equations, 140(1997), 142-160.
    • (1997) J. Differential Equations , vol.140 , pp. 142-160
    • Perera, K.1
  • 276
    • 0031563735 scopus 로고    scopus 로고
    • Multiplicity results for some elliptic problems with concave nonlinear it ies
    • K. Perera, Multiplicity results for some elliptic problems with concave nonlinear it ies, J. Differential Equations, 140(1997), 133-141.
    • (1997) J. Differential Equations , vol.140 , pp. 133-141
    • Perera, K.1
  • 277
    • 0038381191 scopus 로고    scopus 로고
    • Critical groups of critical points produced by local linking with applications
    • K. Perera, Critical groups of critical points produced by local linking with applications, Abstr. Appl. Anal., 3(1998), 437-446.
    • (1998) Abstr. Appl. Anal. , vol.3 , pp. 437-446
    • Perera, K.1
  • 278
    • 0008371631 scopus 로고    scopus 로고
    • Homological local linking
    • K. Perera, Homological local linking, Abstr. Appl. Anal, 3(1998), 181-189.
    • (1998) Abstr. Appl. Anal , vol.3 , pp. 181-189
    • Perera, K.1
  • 279
    • 0002080058 scopus 로고    scopus 로고
    • Applications of local linking to asymptotically linear elliptic problems at resonance
    • K. Perera, Applications of local linking to asymptotically linear elliptic problems at resonance, NoDEA, 6 (1999), 55-62.
    • (1999) NoDEA , vol.6 , pp. 55-62
    • Perera, K.1
  • 281
    • 3042632974 scopus 로고    scopus 로고
    • On the Fucik spectrum of the p-Laplacian
    • K. Perera, On the Fucik spectrum of the p-Laplacian, NoDEA, 11(2004), 259-270.
    • (2004) NoDEA , vol.11 , pp. 259-270
    • Perera, K.1
  • 282
    • 0000447090 scopus 로고    scopus 로고
    • Type (II) regions between curves of the Fucik spectrum and critical groups
    • K. Perera and M. Schechter, Type (II) regions between curves of the Fucik spectrum and critical groups, Topol. Meths. in Nonl. Anal., 12(1999), 227-243.
    • (1999) Topol. Meths. in Nonl. Anal. , vol.12 , pp. 227-243
    • Perera, K.1    Schechter, M.2
  • 283
    • 0038061911 scopus 로고    scopus 로고
    • Double resonance problems with respect to the Fucik spectrum
    • K. Perera and M. Schechter, Double resonance problems with respect to the Fucik spectrum, Indiana Univ. Math. J., 52(2003), 1-17.
    • (2003) Indiana Univ. Math. J. , vol.52 , pp. 1-17
    • Perera, K.1    Schechter, M.2
  • 284
    • 23044525764 scopus 로고    scopus 로고
    • The Fucik spectrum and critical groups
    • K. Perera and M. Schechter, The Fucik spectrum and critical groups, Proc. Amer. Math. Soc, 129(2001), 2301-2308.
    • (2001) Proc. Amer. Math. Soc , vol.129 , pp. 2301-2308
    • Perera, K.1    Schechter, M.2
  • 285
    • 0008329439 scopus 로고    scopus 로고
    • A generalization of the Amann-Zehnder theorem to nonresonance problems with jumping nonlinearities
    • K. Perera and M. Schechter, A generalization of the Amann-Zehnder theorem to nonresonance problems with jumping nonlinearities, NoDEA, 7(2000), 361-367.
    • (2000) NoDEA , vol.7 , pp. 361-367
    • Perera, K.1    Schechter, M.2
  • 286
    • 0038061911 scopus 로고    scopus 로고
    • Double resonance problems with respect to the Fucik spectrum
    • K. Perera and M. Schechter, Double resonance problems with respect to the Fucik spectrum, Indiana Univ. Math. J., 52(2003), 1-17.
    • (2003) Indiana Univ. Math. J. , vol.52 , pp. 1-17
    • Perera, K.1    Schechter, M.2
  • 287
    • 0000222483 scopus 로고    scopus 로고
    • Morse index estimates in saddle point theorems without a finite-dimensional closed loop
    • K. Perera and M. Schechter, Morse index estimates in saddle point theorems without a finite-dimensional closed loop, Indiana Univ. Math. J., 47, 1083-1095.
    • Indiana Univ. Math. J. , vol.47 , pp. 1083-1095
    • Perera, K.1    Schechter, M.2
  • 288
    • 23844437401 scopus 로고    scopus 로고
    • P-Laplacian problems where the nonlinearity crosses an eigenvalue
    • K. Perera and A. Szulkin, p-Laplacian problems where the nonlinearity crosses an eigenvalue. Discrete Contin. Dyn. Syst, 13(2005), 743-753.
    • (2005) Discrete Contin. Dyn. Syst , vol.13 , pp. 743-753
    • Perera, K.1    Szulkin, A.2
  • 289
    • 0002104877 scopus 로고    scopus 로고
    • Existence of periodic solutions for Hamiltonian systems at resonance
    • L. Pisani, Existence of periodic solutions for Hamiltonian systems at resonance, NoDEA, 4(1997), 61-76.
    • (1997) NoDEA , vol.4 , pp. 61-76
    • Pisani, L.1
  • 290
    • 84980196930 scopus 로고
    • Periodic solutions of Hamiltonian systems
    • P. Rabinowitz, Periodic solutions of Hamiltonian systems, Comm. Pure Appl. Math., 31(1978), 157-184.
    • (1978) Comm. Pure Appl. Math. , vol.31 , pp. 157-184
    • Rabinowitz, P.1
  • 291
    • 84980131053 scopus 로고
    • Free vibrations for a semilinear wave equation
    • P. Rabinowitz, Free vibrations for a semilinear wave equation, Comm. Pure Appl. Math., 31(1978), 31-68.
    • (1978) Comm. Pure Appl. Math. , vol.31 , pp. 31-68
    • Rabinowitz, P.1
  • 292
    • 0002809786 scopus 로고
    • Periodic solutions of large norm of Hamiltonian systems
    • P. Rabinowitz, Periodic solutions of large norm of Hamiltonian systems, J. Diff. Eqns., 50(1983), 33-48.
    • (1983) J. Diff. Eqns. , vol.50 , pp. 33-48
    • Rabinowitz, P.1
  • 293
    • 0001901435 scopus 로고
    • Minimax methods in critical point theory with applications to differential equations
    • Amer. Math. Soc.
    • P. Rabinowitz, Minimax methods in critical point theory with applications to differential equations, Conf. Board of Math. Sci. Reg. Conf. Ser. in Math., No. 65, Amer. Math. Soc., 1986.
    • (1986) Conf. Board of Math. Sci. Reg. Conf. Ser. in Math. , Issue.65
    • Rabinowitz, P.1
  • 294
    • 84972475883 scopus 로고
    • Homoclinic orbits for a class of Hamiltonian systems
    • P. Rabinowitz, Homoclinic orbits for a class of Hamiltonian systems, Proc. Roy. Soc. Edinburgh, 114 (1990), 33-38.
    • (1990) Proc. Roy. Soc. Edinburgh , vol.114 , pp. 33-38
    • Rabinowitz, P.1
  • 295
    • 34249835055 scopus 로고
    • On a class of nonlinear Schrodinger equations
    • P. Rabinowitz, On a class of nonlinear Schrodinger equations, Z. Angew. Math. Phys., 43(1992), 270-291.
    • (1992) Z. Angew. Math. Phys. , vol.43 , pp. 270-291
    • Rabinowitz, P.1
  • 296
    • 0000594598 scopus 로고
    • Multiple critical points of perturbed symmetric functional
    • P. Rabinowitz, Multiple critical points of perturbed symmetric functional, Tran. Amer. Math. Soc, 272(1982), 753-769.
    • (1982) Tran. Amer. Math. Soc , vol.272 , pp. 753-769
    • Rabinowitz, P.1
  • 297
    • 51249171492 scopus 로고
    • Some results on connecting orbits for a class of Hamiltonian systems
    • P. Rabinowitz and K. Tanaka, Some results on connecting orbits for a class of Hamiltonian systems. Math. Z., 206(1991), 472-499.
    • (1991) Math. Z. , vol.206 , pp. 472-499
    • Rabinowitz, P.1    Tanaka, K.2
  • 298
    • 27544463888 scopus 로고
    • A unified approach to min-max critical point theorems
    • M. Ramos and C. Rebelo, A unified approach to min-max critical point theorems, Portugal. Math., 51(1994), 489-516.
    • (1994) Portugal. Math. , vol.51 , pp. 489-516
    • Ramos, M.1    Rebelo, C.2
  • 299
    • 51249166153 scopus 로고
    • Homotopical linking and Morse index estimates in min-max theorem
    • M. Ramos and L. Sanchez, Homotopical linking and Morse index estimates in min-max theorem, manuscripta math., 87(1995), 269-284.
    • (1995) Manuscripta Math. , vol.87 , pp. 269-284
    • Ramos, M.1    Sanchez, L.2
  • 300
    • 0001366532 scopus 로고    scopus 로고
    • Superlinear indefinite elliptic problems and Pohozaev type inentities
    • M. Ramos, S. Terracini and C. Troestler, Superlinear indefinite elliptic problems and Pohozaev type inentities, J. Funct. Anal, 159(1998), 596-628.
    • (1998) J. Funct. Anal , vol.159 , pp. 596-628
    • Ramos, M.1    Terracini, S.2    Troestler, C.3
  • 302
    • 77951254078 scopus 로고
    • Morse theory in Hilbert space
    • E. H. Rothe, Morse theory in Hilbert space. Rocky M. J. Math., 3(1973), 251-274.
    • (1973) Rocky M. J. Math. , vol.3 , pp. 251-274
    • Rothe, E.H.1
  • 303
    • 34250246324 scopus 로고
    • On nonlinear elliptic problems with jumping nonlinearites
    • B. Ruf, On nonlinear elliptic problems with jumping nonlinearites, Ann. Mat. Pura Appl, 128(1981), 133-151.
    • (1981) Ann. Mat. Pura Appl , vol.128 , pp. 133-151
    • Ruf, B.1
  • 304
    • 0037845161 scopus 로고    scopus 로고
    • Elliptic problems with critical exponents and Hardy potentials
    • D. Ruiz and M. Willem, Elliptic problems with critical exponents and Hardy potentials, J. Diff. Eqns., 190(2003), 524-538.
    • (2003) J. Diff. Eqns. , vol.190 , pp. 524-538
    • Ruiz, D.1    Willem, M.2
  • 305
    • 4544333326 scopus 로고
    • The measure of critical values of differentiable maps
    • A. Sard, The measure of critical values of differentiable maps. Bull. Amer. Math. Soc, 48(1942), 883-890.
    • (1942) Bull. Amer. Math. Soc , vol.48 , pp. 883-890
    • Sard, A.1
  • 306
    • 84972575887 scopus 로고
    • The Hampwile theorem for nonhnear eigenvalues
    • M. Schechter, The Hampwile theorem for nonhnear eigenvalues, Duke Math. J., 59(1989), 325-335.
    • (1989) Duke Math. J. , vol.59 , pp. 325-335
    • Schechter, M.1
  • 307
  • 308
    • 51249162209 scopus 로고
    • SuperUnear elhptic boundary value problems
    • M. Schechter, SuperUnear elhptic boundary value problems, Manuscripta Math., 86 (1995), 253-265.
    • (1995) Manuscripta Math. , vol.86 , pp. 253-265
    • Schechter, M.1
  • 311
    • 23044519336 scopus 로고    scopus 로고
    • Resonance problems with respect to the Fucik spectrum
    • M. Schechter, Resonance problems with respect to the Fucik spectrum. Trans. Amer. Math. Soc, 352(2000), 4195-4205.
    • (2000) Trans. Amer. Math. Soc , vol.352 , pp. 4195-4205
    • Schechter, M.1
  • 312
    • 84963428914 scopus 로고
    • Splitting subspaces and saddle points
    • M. Schechter, Splitting subspaces and saddle points. Applicable Analysis, 49(1993), 33-48.
    • (1993) Applicable Analysis , vol.49 , pp. 33-48
    • Schechter, M.1
  • 313
    • 0032348337 scopus 로고    scopus 로고
    • Critical point theory with weak-to-weak linking
    • M. Schechter, Critical point theory with weak-to-weak linking, Comm. Pure Appl. Math., 51 (1998), 1247-1254.
    • (1998) Comm. Pure Appl. Math. , vol.51 , pp. 1247-1254
    • Schechter, M.1
  • 314
    • 33845248797 scopus 로고    scopus 로고
    • Some recent results in critical point theory
    • M. Schechter, Some recent results in critical point theory. Pan American Mathematical Journal, 12(2002), 1-19.
    • (2002) Pan American Mathematical Journal , vol.12 , pp. 1-19
    • Schechter, M.1
  • 315
    • 0037975022 scopus 로고    scopus 로고
    • Type (II) regions between curves of the Fucik spectrum
    • M. Schechter, Type (II) regions between curves of the Fucik spectrum, NoDEA, 4(1997), 459-476.
    • (1997) NoDEA , vol.4 , pp. 459-476
    • Schechter, M.1
  • 316
    • 84964194504 scopus 로고
    • A bounded mountain pass lemma without the (PS) condition and applications
    • M. Schechter, A bounded mountain pass lemma without the (PS) condition and applications. Trans. Amer. Math. Soc, 331(1992), 681-704.
    • (1992) Trans. Amer. Math. Soc , vol.331 , pp. 681-704
    • Schechter, M.1
  • 317
    • 84972571410 scopus 로고
    • The intrinsic mountain pass
    • M. Schechter, The intrinsic mountain pass. Pacific J. Math., 171(1995), 529-544.
    • (1995) Pacific J. Math. , vol.171 , pp. 529-544
    • Schechter, M.1
  • 319
    • 0039713706 scopus 로고
    • Critical points when there is no saddle point geometry
    • M. Schechter, Critical points when there is no saddle point geometry, Topol. Methods Nonlinear Anal, 6(1995), 295-308.
    • (1995) Topol. Methods Nonlinear Anal , vol.6 , pp. 295-308
    • Schechter, M.1
  • 320
    • 0039346841 scopus 로고    scopus 로고
    • Infinite-dimensional linking
    • M. Schechter, Infinite-Dimensional Linking, Duke Mathematical Journal, 94(1998), 573-595.
    • (1998) Duke Mathematical Journal , vol.94 , pp. 573-595
    • Schechter, M.1
  • 321
    • 0007117496 scopus 로고
    • The saddle point alternative
    • M. Schechter, The saddle point alternative, Amer. J. Math., 117(1995), 1603-1626.
    • (1995) Amer. J. Math. , vol.117 , pp. 1603-1626
    • Schechter, M.1
  • 322
    • 0000717094 scopus 로고
    • Pairs of critical points produced by linking subsets with applications to semilinear elliptic problems
    • M. Schechter and K. Tintarev, Pairs of critical points produced by linking subsets with applications to semilinear elliptic problems, Bull Soc. Math. Belg., 44(1994), 249-261.
    • (1994) Bull Soc. Math. Belg. , vol.44 , pp. 249-261
    • Schechter, M.1    Tintarev, K.2
  • 323
    • 84891434913 scopus 로고
    • Critical points for pairs of functionals and semilinear elliptic equations
    • (ed. C Bandle et al), Pitman Research Notes in Mathematics, No. 326
    • M. Schechter and K. Tintarev, Critical points for pairs of functionals and semilinear elliptic equations, in Calculus of Variations, Applications and Computations (ed. C Bandle et al), Pitman Research Notes in Mathematics, No. 326(1995), 245-253.
    • (1995) Calculus of Variations, Applications and Computations , pp. 245-253
    • Schechter, M.1    Tintarev, K.2
  • 324
    • 0348159942 scopus 로고    scopus 로고
    • Double linking theorem and multiple solutions
    • M. Schechter and W. Zou, Double linking theorem and multiple solutions, J. Functional Analysis, 205(2003), 37-61.
    • (2003) J. Functional Analysis , vol.205 , pp. 37-61
    • Schechter, M.1    Zou, W.2
  • 325
    • 0037564112 scopus 로고    scopus 로고
    • Homoclinic orbits for Schrodinger systems
    • M. Schechter and W. Zou, Homoclinic orbits for Schrodinger systems, Michigan Math. J., 51(2003), 59-71.
    • (2003) Michigan Math. J. , vol.51 , pp. 59-71
    • Schechter, M.1    Zou, W.2
  • 328
    • 0142103336 scopus 로고    scopus 로고
    • Weak linking theorems and schrodinger equations with critical Sobolev exponent
    • M. Schechter and W. Zou, Weak linking theorems and schrodinger equations with critical Sobolev exponent. Control, Optimization and Calculus of Variations, 9(2003), 601-619.
    • (2003) Control, Optimization and Calculus of Variations , vol.9 , pp. 601-619
    • Schechter, M.1    Zou, W.2
  • 329
  • 330
    • 28044455495 scopus 로고    scopus 로고
    • Infinite-dimensional linking theorem and applications
    • M. Schecher and W. Zou, Infinite-dimensional linking theorem and applications, J. Diff. Eqns., 201(2004), 324-350.
    • (2004) J. Diff. Eqns. , vol.201 , pp. 324-350
    • Schecher, M.1    Zou, W.2
  • 332
    • 26944458107 scopus 로고    scopus 로고
    • Infinitely many solutions to perturbed elliptic equations
    • M. Schechter and W. Zou, Infinitely many solutions to perturbed elliptic equations, J. Funct. Anal, 228(2005), 1-38.
    • (2005) J. Funct. Anal , vol.228 , pp. 1-38
    • Schechter, M.1    Zou, W.2
  • 333
    • 84891461908 scopus 로고    scopus 로고
    • Sign-changing critical points from linking type theorems
    • (to appear)
    • M. Schechter and W. Zou, Sign-changing critical points from linking type theorems. Trans. AMS, (to appear).
    • Trans. AMS
    • Schechter, M.1    Zou, W.2
  • 334
    • 51249165518 scopus 로고
    • Existence of infinitely many homoclinic orbits in Hamiltonian systems
    • E. Sere, Existence of infinitely many homoclinic orbits in Hamiltonian systems. Math. Z., 209(1992), 27-42.
    • (1992) Math. Z. , vol.209 , pp. 27-42
    • Sere, E.1
  • 337
    • 0000079977 scopus 로고
    • Linking theorems and applications to semilinear elliptic problems at resonance
    • E. A. B. Silva, Linking theorems and applications to semilinear elliptic problems at resonance, Nonl Anal TMA, 16(1991), 455-477.
    • (1991) Nonl Anal TMA , vol.16 , pp. 455-477
    • Silva, E.A.B.1
  • 338
    • 34249773823 scopus 로고
    • Existence and multiplicity of solutions for semilinear elliptic systems
    • E. A. B. Silva, Existence and multiplicity of solutions for semilinear elliptic systems, NoDEA, 1(1994), 339-363.
    • (1994) NoDEA , vol.1 , pp. 339-363
    • Silva, E.A.B.1
  • 339
    • 0001463613 scopus 로고
    • Subharmonic solutions for subquadratic Hamiltonian systems
    • E. A. B. Silva, Subharmonic solutions for subquadratic Hamiltonian systems, J. Differential Equations, 115(1995), 120-145.
    • (1995) J. Differential Equations , vol.115 , pp. 120-145
    • Silva, E.A.B.1
  • 340
    • 0001597047 scopus 로고    scopus 로고
    • Multiple critical points for asymptotically quadratic functional
    • E. A. B. Silva, Multiple critical points for asymptotically quadratic functional, Comm. in Partial Differential Equations, 21 (1996), 1729-1770.
    • (1996) Comm. in Partial Differential Equations , vol.21 , pp. 1729-1770
    • Silva, E.A.B.1
  • 342
    • 0347985205 scopus 로고    scopus 로고
    • Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents
    • E. A. B. Silva and M. S. Xavier, Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents, Ann. Inst. H. Poincare Anal. Non Lineaire, 20 (2003), 341-358.
    • (2003) Ann. Inst. H. Poincare Anal. Non Lineaire , vol.20 , pp. 341-358
    • Silva, E.A.B.1    Xavier, M.S.2
  • 343
    • 0001146482 scopus 로고
    • An infinite dimensional version of Sard's theorem
    • S. Smale, An infinite dimensional version of Sard's theorem, Amer. J. Math., 87(1965), 861-866.
    • (1965) Amer. J. Math. , vol.87 , pp. 861-866
    • Smale, S.1
  • 344
    • 0013121514 scopus 로고
    • Morse theory and a nonlinear generalization of Dirichlet Problem
    • S. Smale, Morse theory and a nonlinear generalization of Dirichlet Problem, Ann. of Math., 17(1964), 307-315.
    • (1964) Ann. of Math. , vol.17 , pp. 307-315
    • Smale, S.1
  • 345
    • 0001350959 scopus 로고
    • Morse index estimates in minimax theorems
    • S. Solimini, Morse index estimates in minimax theorems. Manuscript Math., 63(1989), 421-453.
    • (1989) Manuscript Math. , vol.63 , pp. 421-453
    • Solimini, S.1
  • 347
    • 84966232049 scopus 로고
    • Paracompactness and product space
    • A. H. Stone, Paracompactness and product space. Bull. Amer. Math. Soc, 54(1948), 977-982.
    • (1948) Bull. Amer. Math. Soc , vol.54 , pp. 977-982
    • Stone, A.H.1
  • 348
    • 0000538563 scopus 로고
    • Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems
    • M. Struwe, Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems, manuscripta math., 32(1980), 335-364.
    • (1980) Manuscripta Math. , vol.32 , pp. 335-364
    • Struwe, M.1
  • 349
    • 0010601361 scopus 로고
    • Multiple solutions of differential equations without the Palais-Smale condition
    • M. Struwe, Multiple solutions of differential equations without the Palais-Smale condition. Math. Ann., 261(1982), 399-412.
    • (1982) Math. Ann. , vol.261 , pp. 399-412
    • Struwe, M.1
  • 350
    • 51249180999 scopus 로고
    • Quasilinear elliptic eigenvalue problems
    • M. Struwe, Quasilinear elliptic eigenvalue problems, Gomm. Math. Helv., 58(1983), 509-527.
    • (1983) Gomm. Math. Helv. , vol.58 , pp. 509-527
    • Struwe, M.1
  • 351
    • 0002725905 scopus 로고
    • The existence of surfaces of constant mean curvature with free boundaries
    • M. Struwe, The existence of surfaces of constant mean curvature with free boundaries, Acta Math., 160 (1988), 19-64.
    • (1988) Acta Math. , vol.160 , pp. 19-64
    • Struwe, M.1
  • 354
    • 0030291320 scopus 로고    scopus 로고
    • A variational problem related to selftrapping of an electromagnetic field
    • C. A. Stuart and H. S. Zhou, A variational problem related to selftrapping of an electromagnetic field. Math. Methods in the Applied Scis., 19(1996), 1397-1407.
    • (1996) Math. Methods in the Applied Scis. , vol.19 , pp. 1397-1407
    • Stuart, C.A.1    Zhou, H.S.2
  • 355
    • 0008301318 scopus 로고    scopus 로고
    • Nontrivial periodic solutions for the asymptotically linear Hamiltonian systems with resonance at infinity
    • J. Su, Nontrivial periodic solutions for the asymptotically linear Hamiltonian systems with resonance at infinity, J. Differential Equations, 145(1998), 252-273.
    • (1998) J. Differential Equations , vol.145 , pp. 252-273
    • Su, J.1
  • 357
    • 51249168106 scopus 로고
    • Cohomology and Morse theory for strongly indefinite functional
    • A. Szulkin, Cohomology and Morse theory for strongly indefinite functional. Math. Z., 209(1992), 375-418.
    • (1992) Math. Z. , vol.209 , pp. 375-418
    • Szulkin, A.1
  • 358
    • 51249120639 scopus 로고    scopus 로고
    • Index theories for indefinite functionals and applications
    • P. Drabek ed. Pitman Research Notes in Math. Ser. Harlow, Essex
    • A. Szulkin, Index theories for indefinite functionals and applications. In: Topological and Variational Methods for Nonlinear Boundary Value Problems, P. Drabek ed.. Pitman Research Notes in Math. Ser. 365, Harlow, Essex 1997, 89-121.
    • (1997) Topological and Variational Methods for Nonlinear Boundary Value Problems , vol.365 , pp. 89-121
    • Szulkin, A.1
  • 359
    • 0000207482 scopus 로고    scopus 로고
    • Eigenvalue problems with indefinite weight
    • A. Szulkin and M. Willem, Eigenvalue problems with indefinite weight, Studia Mathematica, 135(1999), 191-201.
    • (1999) Studia Mathematica , vol.135 , pp. 191-201
    • Szulkin, A.1    Willem, M.2
  • 360
    • 0035839421 scopus 로고    scopus 로고
    • Infinite dimensional cohomology groups and periodic solutions of asymptotically linear Hamiltonian systems
    • A. Szulkin and W. Zou, Infinite dimensional cohomology groups and periodic solutions of asymptotically linear Hamiltonian systems, J. Diff. Eqns., 174(2001), 369-391.
    • (2001) J. Diff. Eqns. , vol.174 , pp. 369-391
    • Szulkin, A.1    Zou, W.2
  • 361
    • 0035578194 scopus 로고    scopus 로고
    • Homoclinic orbit for asymptotically linear Hamiltonian Systems
    • A. Szulkin and W. Zou, Homoclinic orbit for asymptotically linear Hamiltonian Systems, J. Function Analysis, 187(2001), 25-41.
    • (2001) J. Function Analysis , vol.187 , pp. 25-41
    • Szulkin, A.1    Zou, W.2
  • 362
    • 34250392866 scopus 로고
    • Best constants in Sobolev inequality
    • G. Talenti, Best constants in Sobolev inequality, Ann. Math., 110(1976), 353-372.
    • (1976) Ann. Math. , vol.110 , pp. 353-372
    • Talenti, G.1
  • 363
    • 38149144312 scopus 로고
    • Homoclinic orbits in a first order superquadratic Hamiltonian system: Convergence of subharmonic orbits
    • K. Tanaka, Homoclinic orbits in a first order superquadratic Hamiltonian system: Convergence of subharmonic orbits, J. Diff. Eqns., 94 (1991), 315-339.
    • (1991) J. Diff. Eqns. , vol.94 , pp. 315-339
    • Tanaka, K.1
  • 364
    • 84954662413 scopus 로고
    • Morse indices at critical points related to the symmetric mountain pass theorem and applications
    • K. Tanaka, Morse indices at critical points related to the symmetric mountain pass theorem and applications, Comm. in Partial Diff. Eqns., 14(1989), 99-128.
    • (1989) Comm. in Partial Diff. Eqns. , vol.14 , pp. 99-128
    • Tanaka, K.1
  • 365
    • 0001471330 scopus 로고
    • Infinitely many periodic solutions for the equation: Uu - Uxx uP-u = f{x, t), II
    • K. Tanaka, Infinitely many periodic solutions for the equation: Uu - Uxx uP-u = f{x, t), II, Trans. Amer. Math. Soc, 307(1988), 615-645.
    • (1988) Trans. Amer. Math. Soc , vol.307 , pp. 615-645
    • Tanaka, K.1
  • 367
    • 0006066131 scopus 로고    scopus 로고
    • Infinitely many solutions for indefinite semilinear elliptic equations without symmetry
    • H. T. Tehrani, Infinitely many solutions for indefinite semilinear elliptic equations without symmetry, Comm. Partial Differential Equations, 21(1996), 541-557.
    • (1996) Comm. Partial Differential Equations , vol.21 , pp. 541-557
    • Tehrani, H.T.1
  • 368
    • 0030151091 scopus 로고    scopus 로고
    • H1 versus C1 local minimizers on manifolds
    • H. T. Tehrani, H1 versus C1 local minimizers on manifolds, Nonl. Anal. TMA, 26(1996), 1491-1509.
    • (1996) Nonl. Anal. TMA , vol.26 , pp. 1491-1509
    • Tehrani, H.T.1
  • 370
    • 0142011685 scopus 로고    scopus 로고
    • Multiple solutions for a Schrodinger type equation with an asymptotically linear term
    • F. A. van Heerden, Multiple solutions for a Schrodinger type equation with an asymptotically linear term, Nonl. Anal. TMA, 55(2003), 739-758.
    • (2003) Nonl. Anal. TMA , vol.55 , pp. 739-758
    • Van Heerden, F.A.1
  • 371
    • 0142103308 scopus 로고    scopus 로고
    • Schrodinger type equations with asymptotically linear nonlinear it ies
    • F. A. van Heerden and Z. Q. Wang, Schrodinger type equations with asymptotically linear nonlinear it ies. Differential Integral Equations, 16(2003), 257-280.
    • (2003) Differential Integral Equations , vol.16 , pp. 257-280
    • Van Heerden, F.A.1    Wang, Z.Q.2
  • 372
  • 374
    • 0011253740 scopus 로고    scopus 로고
    • Sign-changing solutions for a class of nonlinear elliptic problems
    • (Tianjin Nankai Ser. Pure Appl. Math. Theoret. Phys. 6, World Sci. Publishing
    • Z. Q. Wang, Sign-changing solutions for a class of nonlinear elliptic problems. Progress in nonlinear analysis (Tianjin, 1999), 370-383, Nankai Ser. Pure Appl. Math. Theoret. Phys., 6, World Sci. Publishing.
    • (1999) Progress in Nonlinear Analysis , pp. 370-383
    • Wang, Z.Q.1
  • 375
    • 0002823383 scopus 로고    scopus 로고
    • Nonlinear boundary value problems with concave nonlinearities near the origin
    • Z. Q. Wang, Nonlinear boundary value problems with concave nonlinearities near the origin, NoDEA, 8(2001), 15-33.
    • (2001) NoDEA , vol.8 , pp. 15-33
    • Wang, Z.Q.1
  • 378
    • 0038738341 scopus 로고    scopus 로고
    • On a semilinear Dirichlet problem and a nonlinear Schrodinger equation with periodic potential
    • M. Willem and W. Zou, On a semilinear Dirichlet problem and a nonlinear Schrodinger equation with periodic potential, Indiana Univ. Math. J., 52(2003), 109-132.
    • (2003) Indiana Univ. Math. J. , vol.52 , pp. 109-132
    • Willem, M.1    Zou, W.2
  • 380
    • 0348246536 scopus 로고
    • The Ljusternik-Schnirelman theory for indefinite and not necessarily odd nonlinear operators and its applications
    • E. Zeidler, The Ljusternik-Schnirelman theory for indefinite and not necessarily odd nonlinear operators and its applications, Nonl. Anal. TMA, 4(1980), 451-489.
    • (1980) Nonl. Anal. TMA , vol.4 , pp. 451-489
    • Zeidler, E.1
  • 381
    • 84985316779 scopus 로고
    • Ljusternik-Schnirelman theory on general level sets
    • E. Zeidler, Ljusternik-Schnirelman theory on general level sets. Math. Nachr., 129(1986), 235-259.
    • (1986) Math. Nachr. , vol.129 , pp. 235-259
    • Zeidler, E.1
  • 382
    • 0037299553 scopus 로고    scopus 로고
    • On sign-changing and multiple solutions of the p-Laplacian
    • Z. Zhang and S. Li, On sign-changing and multiple solutions of the p-Laplacian, J. Fund. Anal, 197 (2003), 447-468.
    • (2003) J. Fund. Anal , vol.197 , pp. 447-468
    • Zhang, Z.1    Li, S.2
  • 384
    • 0032281604 scopus 로고    scopus 로고
    • Positive solution for a semilinear elliptic equation which is almost linear at infinity
    • H. S. Zhou, Positive solution for a semilinear elliptic equation which is almost linear at infinity, Z. Angew. Math. Phys., 49(1998), 896-906.
    • (1998) Z. Angew. Math. Phys. , vol.49 , pp. 896-906
    • Zhou, H.S.1
  • 385
    • 0035532310 scopus 로고    scopus 로고
    • Variant fountain theorems and their applications
    • W. Zou, Variant fountain theorems and their applications, Manuscripta Mathematica, 104(2001), 343-358.
    • (2001) Manuscripta Mathematica , vol.104 , pp. 343-358
    • Zou, W.1
  • 386
    • 33748135205 scopus 로고    scopus 로고
    • Solitary waves of the generalized Kadomtsev-Petviashvili equations
    • W. Zou, Solitary waves of the generalized Kadomtsev-Petviashvili equations, Appl. Math. Letter., 15(2002), 35-39.
    • (2002) Appl. Math. Letter. , vol.15 , pp. 35-39
    • Zou, W.1
  • 387
    • 0035285003 scopus 로고    scopus 로고
    • Multiple solutions for asymptotically linear elliptic systems
    • W. Zou, Multiple solutions for asymptotically linear elliptic systems, J. Math. Anal. Appl, 255(2001), 213-229.
    • (2001) J. Math. Anal. Appl , vol.255 , pp. 213-229
    • Zou, W.1
  • 389
    • 0036383391 scopus 로고    scopus 로고
    • Computations of cohomology groups and applications to asymptotically linear beam equations and noncooperative elliptic systems
    • W. Zou, Computations of cohomology groups and applications to asymptotically linear beam equations and noncooperative elliptic systems, Comm. in Partial Differential Equations, 27(2002), 115-148.
    • (2002) Comm. in Partial Differential Equations , vol.27 , pp. 115-148
    • Zou, W.1
  • 390
    • 10444240193 scopus 로고    scopus 로고
    • Sign-changing saddle point
    • W. Zou, Sign-changing saddle point, J. Funct. Anal., 219(2005), 433-468.
    • (2005) J. Funct. Anal. , vol.219 , pp. 433-468
    • Zou, W.1
  • 391
    • 84891426806 scopus 로고    scopus 로고
    • On finding sign-changing solutions
    • (in press)
    • W. Zou, On finding sign-changing solutions, J. Funct. Anal, (in press).
    • J. Funct. Anal
    • Zou, W.1
  • 392
    • 0032366878 scopus 로고    scopus 로고
    • Multiple solutions results for two-point boundary value problem with resonance both at origin and at infinity via computation of the critical groups
    • W. Zou, Multiple solutions results for two-point boundary value problem with resonance both at origin and at infinity via computation of the critical groups. Discrete and Continuous Dynamic Systems, 4(1998), 485-496.
    • (1998) Discrete and Continuous Dynamic Systems , vol.4 , pp. 485-496
    • Zou, W.1
  • 393
    • 0036568070 scopus 로고    scopus 로고
    • Computations of the critical groups and the nontrivial solutions for resonant type asymptotically linear Hamiltonian systems
    • W. Zou, Computations of the critical groups and the nontrivial solutions for resonant type asymptotically linear Hamiltonian systems. Nonlinear Analysis, TMA, 49(4)(2002), 481-499.
    • (2002) Nonlinear Analysis, TMA , vol.49 , Issue.4 , pp. 481-499
    • Zou, W.1
  • 394
    • 0037146386 scopus 로고    scopus 로고
    • Infinitely many solutions for two classes of the second order Hamiltonian systems
    • W. Zou and S. Li, Infinitely many solutions for two classes of the second order Hamiltonian systems, J. Differential Equations, 186(2002) 141-164.
    • (2002) J. Differential Equations , vol.186 , pp. 141-164
    • Zou, W.1    Li, S.2
  • 395
    • 0037333653 scopus 로고    scopus 로고
    • New linking theorem and elliptic systems with nonlinear boundary condition
    • W. Zou and S. Li, New linking theorem and elliptic systems with nonlinear boundary condition, Nonl Anal TMA, 52(2003), 1797-1820.
    • (2003) Nonl Anal TMA , vol.52 , pp. 1797-1820
    • Zou, W.1    Li, S.2
  • 396
    • 0042919515 scopus 로고    scopus 로고
    • Multiple solutions for elliptic resonant problem via local linking theory and Morse theory
    • W. Zou and J. Liu, Multiple solutions for elliptic resonant problem via local linking theory and Morse theory, J. Diff. Eqns., 170(2001), 68-95.
    • (2001) J. Diff. Eqns. , vol.170 , pp. 68-95
    • Zou, W.1    Liu, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.