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Proceedings of the American Mathematical Society
Volumn 124, Issue 1, 1996, Pages 83-87
On the solvability of a nonlinear second-order elliptic equation at resonance
Author keywords

Landesman Lazer condition; Leray Schauder degree; Second order elliptic equation
Indexed keywords

EID: 21844520528     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-96-03145-0     Document Type: Article
Times cited : (24)
References (9)
  • 1
    • 84980075953 scopus 로고
    • Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I
    • MR 23:A2610
    • S. Agmon, A. Douglis, and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I, Comm. Pure Appl. Math. 12 (1959), 623-727. MR 23:A2610
    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 623-727
    • Agmon, S.1    Douglis, A.2    Nirenberg, L.3
  • 3
    • 0000080914 scopus 로고
    • Perturbation of second order elliptic problems by unbounded nonlinearities
    • MR 84c:35042
    • C. P. Gupta, Perturbation of second order elliptic problems by unbounded nonlinearities, Nonlinear Anal. 6 (1982), 919-933. MR 84c:35042
    • (1982) Nonlinear Anal. , vol.6 , pp. 919-933
    • Gupta, C.P.1
  • 4
    • 0000964557 scopus 로고
    • Nonlinear perturbations of second order linear elliptic boundary value problems
    • MR 90c:35091
    • N. Hirano, Nonlinear perturbations of second order linear elliptic boundary value problems, Houston J. Math. 14 (1988), 105-114. MR 90c:35091
    • (1988) Houston J. Math. , vol.14 , pp. 105-114
    • Hirano, N.1
  • 5
    • 0001719187 scopus 로고
    • Nonlinear second order elliptic partial differential equations at resonance
    • MR 90a:35091
    • R. Iannacci, M. N. Nkashama, and J. R. Ward, Jr., Nonlinear second order elliptic partial differential equations at resonance, Trans. Amer. Math. Soc. 311 (1989), 711-726. MR 90a:35091
    • (1989) Trans. Amer. Math. Soc. , vol.311 , pp. 711-726
    • Iannacci, R.1    Nkashama, M.N.2    Ward Jr., J.R.3
  • 6
    • 0000072394 scopus 로고
    • Landesman-Lazer conditions for problems with "one-side unbounded" nonlinearities
    • MR 87d:35051
    • R. Kannan and R. Ortega, Landesman-Lazer conditions for problems with "one-side unbounded" nonlinearities, Nonlinear Anal.9 (1985), 1313-1317. MR 87d:35051
    • (1985) Nonlinear Anal. , vol.9 , pp. 1313-1317
    • Kannan, R.1    Ortega, R.2
  • 7
    • 0000851112 scopus 로고
    • Nonlinear perturbations of linear elliptic boundary value problems at resonance
    • MR 42:2171
    • E. M. Landesman and A. C. Lazer, Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech. 19 (1970), 609-623. MR 42:2171
    • (1970) J. Math. Mech. , vol.19 , pp. 609-623
    • Landesman, E.M.1    Lazer, A.C.2
  • 8
    • 0004081871 scopus 로고
    • Cambridge Univ. Press, Cambridge, MR 58:12558
    • N. G. Lloyd, Degree theory, Cambridge Univ. Press, Cambridge, 1978. MR 58:12558
    • (1978) Degree Theory
    • Lloyd, N.G.1
  • 9
    • 0005658850 scopus 로고
    • Perturbations with some supsrlinear growth for a class of second order elliptic boundary value problems
    • MR 831:35076
    • J. R. Ward, Jr., Perturbations with some supsrlinear growth for a class of second order elliptic boundary value problems, Nonlinear Anal. 6 (1982), 367-374. MR 831:35076
    • (1982) Nonlinear Anal. , vol.6 , pp. 367-374
    • Ward Jr., J.R.1

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