메뉴 건너뛰기




Volumn 52, Issue 7, 2003, Pages 1797-1820

New linking theorem and elliptic systems with nonlinear boundary condition

Author keywords

Elliptic systems; Linking; Nonlinear boundary condition

Indexed keywords

BOUNDARY CONDITIONS; HAMILTONIANS; OPTIMIZATION; THEOREM PROVING;

EID: 0037333653     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(02)00300-0     Document Type: Article
Times cited : (4)

References (26)
  • 2
    • 0001232950 scopus 로고
    • On critical point theory for indefinite functionals in the presence of symmetries
    • Benci V. On critical point theory for indefinite functionals in the presence of symmetries. Trans. Am. Math. Soc. 274:1982;533-572.
    • (1982) Trans. Am. Math. Soc. , vol.274 , pp. 533-572
    • Benci, V.1
  • 3
    • 1542437218 scopus 로고
    • Critical point theorems for indefinite functionals
    • Benci V., Rabinowitz P. Critical point theorems for indefinite functionals. Invent. Math. 52:1979;241-273.
    • (1979) Invent. Math. , vol.52 , pp. 241-273
    • Benci, V.1    Rabinowitz, P.2
  • 5
    • 0012111157 scopus 로고    scopus 로고
    • Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions
    • J.F. Bonder, J.P. Pinasco, J.D. Rossi, Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions, E. J. Differential Equations 1999 (40) (1999) 1-15.
    • (1999) E. J. Differential Equations , vol.40 , pp. 1-15
    • Bonder, J.F.1    Pinasco, J.P.2    Rossi, J.D.3
  • 6
    • 0012111867 scopus 로고    scopus 로고
    • Existence for an elliptic system with nonlinear boundary conditions via fixed point methods
    • to appear
    • J.F. Bonder, J.D. Rossi, Existence for an elliptic system with nonlinear boundary conditions via fixed point methods. Adv. Differential Equations, to appear.
    • Adv. Differential Equations
    • Bonder, J.F.1    Rossi, J.D.2
  • 8
    • 0000142827 scopus 로고
    • Variational elliptic problems which are nonquadratic at infinity
    • Costa D.G., Magalhães C.A. Variational elliptic problems which are nonquadratic at infinity. Nonlinear Anal. TMA. 23:1994;1401-1412.
    • (1994) Nonlinear Anal. TMA , vol.23 , pp. 1401-1412
    • Costa, D.G.1    Magalhães, C.A.2
  • 9
    • 4644339622 scopus 로고
    • A variational approach to subquadratic perturbations of elliptic systems
    • Costa D.G., Magalhães C.A. A variational approach to subquadratic perturbations of elliptic systems. J. Differential Equations. 111:1994;103-122.
    • (1994) J. Differential Equations , vol.111 , pp. 103-122
    • Costa, D.G.1    Magalhães, C.A.2
  • 10
    • 0002256917 scopus 로고
    • Positive solutions of semilinear elliptic equations
    • Springer, Berlin
    • D.G. de Figueiredo, Positive solutions of semilinear elliptic equations, Springer Lecture Notes in Mathematics, Vol. 957, Springer, Berlin, 1982, pp. 34-87.
    • (1982) Springer Lecture Notes in Mathematics , vol.957 , pp. 34-87
    • De Figueiredo, D.G.1
  • 12
    • 0000105023 scopus 로고
    • A maximum principle for an elliptic system and applications to semilinear problem
    • De Figueiredo D.G., Mitidieri E. 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
  • 13
    • 38249006566 scopus 로고
    • Periodic solutions of 'superquadratic' Hamiltonian systems
    • Felmer P. Periodic solutions of 'superquadratic' Hamiltonian systems. J. Differential Equations. 102:1993;188-207.
    • (1993) J. Differential Equations , vol.102 , pp. 188-207
    • Felmer, P.1
  • 14
    • 85012922705 scopus 로고
    • Heteroclinic orbits for spatially periodic Hamiltonian systems
    • Felmer P. Heteroclinic orbits for spatially periodic Hamiltonian systems. Ann. Inst. H. Poincaré Anal. Non Linéaire. 8:1991;477-497.
    • (1991) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.8 , pp. 477-497
    • Felmer, P.1
  • 15
    • 84884796444 scopus 로고
    • Existence and uniqueness of positive solutions for certain quasilinear elliptic systems
    • Felmer P., Manásevich R.F., de Thélin F. Existence and uniqueness of positive solutions for certain quasilinear elliptic systems. Commun. Part. Differential Equations. 17:1992;2013-2029.
    • (1992) Commun. Part. Differential Equations , vol.17 , pp. 2013-2029
    • Felmer, P.1    Manásevich, R.F.2    De Thélin, F.3
  • 16
    • 0002932245 scopus 로고
    • Differential systems with strongly indefinite variational structure
    • Hulshof J., van der Vorst R. 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    Van der Vorst, R.2
  • 18
    • 0033269302 scopus 로고    scopus 로고
    • Local conditions insuring bifurcation from the continuous spectrum
    • Jeanjean L. 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
  • 19
    • 0001901435 scopus 로고
    • Minimax methods in critical point theory with applications to differential equations
    • American Mathematical Society, Providence, RI
    • P. Rabinowitz, Minimax methods in critical point theory with applications to differential equations, CBMS Regional Conference Series in Mathematics, Vol. 65, American Mathematical Society, Providence, RI, 1986.
    • (1986) CBMS Regional Conference Series in Mathematics , vol.65
    • Rabinowitz, P.1
  • 20
    • 0038049629 scopus 로고    scopus 로고
    • Proceedings of the USA-chile workshop an nonlinear analysis
    • Silva E.A.B. Proceedings of the USA-Chile Workshop an Nonlinear Analysis. Electron. J. Differ. Eq. Conf. 6:2001;267-283.
    • (2001) Electron. J. Differ. Eq. Conf. , vol.6 , pp. 267-283
    • Silva, E.A.B.1
  • 22
    • 0002725905 scopus 로고    scopus 로고
    • The existence of surfaces of constant mean curvature with free boundaries
    • Struwe M. The existence of surfaces of constant mean curvature with free boundaries. Acta Math. 160:1998;19-64.
    • (1998) Acta Math. , vol.160 , pp. 19-64
    • Struwe, M.1
  • 23
    • 0035578194 scopus 로고    scopus 로고
    • Homoclinic orbit for asymptotically linear Hamiltonian systems
    • Szulkin A., Zou W. Homoclinic orbit 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
  • 25
    • 0035285003 scopus 로고    scopus 로고
    • Multiple solutions for asymptotically linear elliptic systems
    • Zou W. 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
  • 26
    • 0035532310 scopus 로고    scopus 로고
    • Variant fountain theorems and their applications
    • Zou W. Variant fountain theorems and their applications. Manuscripta Math. 104:2001;343-358.
    • (2001) Manuscripta Math. , vol.104 , pp. 343-358
    • Zou, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.