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Volumn 40, Issue 4, 1997, Pages 464-470

On the solvability of a Neumann boundary value problem at resonance

Author keywords

Landesman Lazer condition; Leray Schauder degree

Indexed keywords


EID: 0031446890     PISSN: 00084395     EISSN: None     Source Type: Journal    
DOI: 10.4153/CMB-1997-055-7     Document Type: Article
Times cited : (3)

References (11)
  • 1
    • 84980075953 scopus 로고
    • Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I
    • 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.
    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 623-727
    • Agmon, S.1    Douglis, A.2    Nirenberg, L.3
  • 3
    • 0000080914 scopus 로고
    • Perturbations of second order elliptic problems by unbounded nonlinearities
    • C. P. Gupta, Perturbations of second order elliptic problems by unbounded nonlinearities. Nonlinear Anal. 6(1982), 919-933.
    • (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
    • N. Hirano, Nonlinear perturbations of second order linear elliptic boundary value problems. Houston J. Math. 14(1988), 105-114.
    • (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
    • 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.
    • (1989) Trans. Amer. Math. Soc. , vol.311 , pp. 711-726
    • Iannacci, R.1    Nkashama, M.N.2    Ward J.R., Jr.3
  • 6
    • 0000072394 scopus 로고
    • Landesman-Lazer conditions for problems with "one-side unbounded" nonlinearities
    • R. Kannan and R. Ortega, Landesman-Lazer conditions for problems with "one-side unbounded" nonlinearities Nonlinear Anal. 9(1985), 1313-1317.
    • (1985) Nonlinear Anal. , vol.9 , pp. 1313-1317
    • Kannan, R.1    Ortega, R.2
  • 7
    • 21844520528 scopus 로고    scopus 로고
    • On the solvability of a nonlinear second order elliptic equation at resonance
    • C.-C. Kuo, On the solvability of a nonlinear second order elliptic equation at resonance. Proc. Amer. Math. Soc. 24(1996), 83-87.
    • (1996) Proc. Amer. Math. Soc. , vol.24 , pp. 83-87
    • Kuo, C.-C.1
  • 8
    • 0000851112 scopus 로고
    • Nonlinear perturbations of linear elliptic boundary value problems at resonance
    • E. M. Landesman and A.C. Lazer, Nonlinear perturbations of linear elliptic boundary value problems at resonance. J. Math. Mech. 19(1970), 609-623.
    • (1970) J. Math. Mech. , vol.19 , pp. 609-623
    • Landesman, E.M.1    Lazer, A.C.2
  • 9
    • 0004081871 scopus 로고
    • Cambridge University Press, New York
    • N. G. Lloyd, Degree theory. Cambridge University Press, New York, 1978.
    • (1978) Degree Theory
    • Lloyd, N.G.1
  • 10
    • 0010721475 scopus 로고
    • Strongly nonlinear perturbations of nonnegative boundary value problems with kernel
    • P. J. McKenna and J. Rauch, Strongly nonlinear perturbations of nonnegative boundary value problems with kernel. J. Differential Equations 28(1978), 253-265.
    • (1978) J. Differential Equations , vol.28 , pp. 253-265
    • McKenna, P.J.1    Rauch, J.2
  • 11
    • 84972513543 scopus 로고
    • A general approach to solvability conditions for semilinear elliptic boundary value problems at resonance
    • S. B. Robinson and E. M. Landesman, A general approach to solvability conditions for semilinear elliptic boundary value problems at resonance. Differential Integral Equations 8(1995), 1555-1569.
    • (1995) Differential Integral Equations , vol.8 , pp. 1555-1569
    • Robinson, S.B.1    Landesman, E.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.