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Volumn 9, Issue , 2003, Pages 601-619

Weak linking theorems and schrödinger equations with critical Sobolev exponent

Author keywords

Critical Sobolev exponent; Linking; Schr dinger equations

Indexed keywords

FUNCTIONS; NUMERICAL METHODS; THEOREM PROVING;

EID: 0142103336     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv:2003029     Document Type: Article
Times cited : (102)

References (32)
  • 1
    • 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. Differential Equations 96 (1992) 89-115.
    • (1992) J. Differential Equations , vol.96 , pp. 89-115
    • Alama, S.1    Li, Y.Y.2
  • 2
    • 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
  • 3
    • 0039441081 scopus 로고    scopus 로고
    • On a nonlinear Schrödinger equation with periodic potential
    • T. Bartsch and Y. Ding, On a nonlinear Schrödinger equation with periodic potential. Math. Ann. 313 (1999) 15-37.
    • (1999) Math. Ann. , vol.313 , pp. 15-37
    • Bartsch, T.1    Ding, Y.2
  • 4
    • 45149140804 scopus 로고
    • Existence of positive solutions of the equation —Au + a(X)u = u(N+2)/(N—2) in Rn
    • n. J. Funct. Anal. 88 (1990) 90-117.
    • (1990) J. Funct. Anal. , vol.88 , pp. 90-117
    • Benci, V.1    Cerami, G.2
  • 5
    • 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
  • 7
    • 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
  • 10
    • 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. Differential Equations 112 (1994) 53-80.
    • (1994) J. Differential Equations , vol.112 , pp. 53-80
    • Jeanjean, L.1
  • 11
    • 2142672943 scopus 로고    scopus 로고
    • On the existence of bounded Palais—Smale sequences and application to a Landesman—Lazer type problem set onRN
    • N. Proc. Roy. Soc. Edinburgh Sect. A 129 (1999) 787-809.
    • (1999) Proc. Roy. Soc. Edinburgh Sect. A , vol.129 , pp. 787-809
    • Jeanjean, L.1
  • 12
    • 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.Differential Equations 3 (1998) 441-472.
    • (1998) Adv.Differential Equations , vol.3 , pp. 441-472
    • Kryszewski, W.1    Szulkin, A.2
  • 15
    • 0001675486 scopus 로고
    • Prescribing scalar curvature on Sn and related problems. Part I
    • n and related problems. Part I. J. Differential Equations 120 (1995) 319-410.
    • (1995) J. Differential Equations , vol.120 , pp. 319-410
    • Li, Y.Y.1
  • 16
    • 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. Poincaré Anal. Non Linéaire 1 (1984) 223-283.
    • (1984) Ann. Inst.H. Poincaré Anal. Non Linéaire , vol.1 , pp. 223-283
    • Lions, P.L.1
  • 18
    • 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
  • 21
    • 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
  • 23
    • 0035578194 scopus 로고    scopus 로고
    • Homoclinic orbits for asymptotically linear Hamiltonian systems
    • A. Szulkin and W. Zou, Homoclinic orbits for asymptotically linear Hamiltonian systems. J. Funct. Anal. 187 (2001) 25-41.
    • (2001) J. Funct. Anal. , vol.187 , pp. 25-41
    • Szulkin, A.1    Zou, W.2
  • 24
    • 0001356193 scopus 로고    scopus 로고
    • Nontrivial solution of a semilinear Schrodinger equation
    • C. Troestler and M. Willem, Nontrivial solution of a semilinear Schrodinger equation. Comm. Partial Differential Equations 21 (1996) 1431-1449.
    • (1996) Comm. Partial Differential Equations , vol.21 , pp. 1431-1449
    • Troestler, C.1    Willem, M.2
  • 25
    • 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
  • 27
    • 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. Lett. 15 (2002) 35-39.
    • (2002) Appl. Math. Lett. , vol.15 , pp. 35-39
    • Zou, W.1
  • 28
    • 0035532310 scopus 로고    scopus 로고
    • Variant Fountain Theorems and their Applications
    • W. Zou, Variant Fountain Theorems and their Applications. Manuscripta Math. 104 (2001) 343-358.
    • (2001) Manuscripta Math , vol.104 , pp. 343-358
    • Zou, W.1
  • 29
    • 33845248797 scopus 로고    scopus 로고
    • Some recent results in critical point theory
    • M. Schechter, Some recent results in critical point theory. Pan Amer. Math. J. 12 (2002) 1-19.
    • (2002) Pan Amer. Math. J. , vol.12 , pp. 1-19
    • Schechter, M.1
  • 30
    • 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
  • 32
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.