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Volumn 290, Issue 1, 2004, Pages 21-34

Solvability of nonlinear elliptic boundary value problem via its associated linear problem

Author keywords

Eigenvalue; Elliptic boundary value problem; Leray Schauder principle

Indexed keywords


EID: 1242277413     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2003.08.009     Document Type: Article
Times cited : (2)

References (23)
  • 1
    • 0000360227 scopus 로고
    • Nonselfadjoint resonance problems with unbounded perturbations
    • S. Ahmad, Nonselfadjoint resonance problems with unbounded perturbations, Nonlinear Anal. 10 (1986) 147-155.
    • (1986) Nonlinear Anal. , vol.10 , pp. 147-155
    • Ahmad, S.1
  • 2
    • 0001727302 scopus 로고
    • Nontrivial solutions for a class of non-resonance problems and applications to nonlinear differential equations
    • H. Amann, E. Zehnder, Nontrivial solutions for a class of non-resonance 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
  • 4
    • 0001074802 scopus 로고
    • Characterizations of the ranges of some nonlinear operators and applications to boundary value problems
    • H. Brezis, L. Nirenberg, Characterizations of the ranges of some nonlinear operators and applications to boundary value problems, Ann. Scuola Noun. Sup. Pisa Cl. Sci. 5 (1978) 225-320.
    • (1978) Ann. Scuola Noun. Sup. Pisa Cl. Sci. , vol.5 , pp. 225-320
    • Brezis, H.1    Nirenberg, L.2
  • 5
    • 0011181771 scopus 로고
    • Variational methods and sub- and supsolutions
    • K.C. Chang, Variational methods and sub- and supsolutions, Sci. Sinica Ser. A 26 (1983) 1256-1265.
    • (1983) Sci. Sinica Ser. A , vol.26 , pp. 1256-1265
    • Chang, K.C.1
  • 7
    • 0000559523 scopus 로고
    • On the Dirichlet problem for weakly non-linear elliptic partial differential equations
    • E.N. Dancer, On the Dirichlet problem for weakly non-linear elliptic partial differential equations, Proc. Roy. Soc. Edinburgh Sect. A 76 (1977) 283-300.
    • (1977) Proc. Roy. Soc. Edinburgh Sect. A , vol.76 , pp. 283-300
    • Dancer, E.N.1
  • 8
    • 38149144547 scopus 로고
    • A Liapunov-type result with application to a Dirichlet-type two-point boundary value problem at resonance
    • E.N. Dancer, C.P. Gupta, A Liapunov-type result with application to a Dirichlet-type two-point boundary value problem at resonance, Nonlinear Anal. 22 (1994) 305-318.
    • (1994) Nonlinear Anal. , vol.22 , pp. 305-318
    • Dancer, E.N.1    Gupta, C.P.2
  • 9
    • 1242297157 scopus 로고
    • Nonlinear perturbations of a linear elliptic problem near its first eigenvalue
    • D.G. de Figueiredo, J.P. Gossez, Nonlinear perturbations of a linear elliptic problem near its first eigenvalue, J. Differential Equations 30 (1978) 629-634.
    • (1978) J. Differential Equations , vol.30 , pp. 629-634
    • de Figueiredo, D.G.1    Gossez, J.P.2
  • 10
    • 0001052405 scopus 로고
    • Perturbations of second order linear elliptic problems by nonlinearities without Landesman-Lazer condition
    • D.G. de Figueiredo, W.M. Ni, Perturbations of second order linear elliptic problems by nonlinearities without Landesman-Lazer condition, Nonlinear Anal. 3 (1979) 629-634.
    • (1979) Nonlinear Anal. , vol.3 , pp. 629-634
    • de Figueiredo, D.G.1    Ni, W.M.2
  • 13
    • 38249028858 scopus 로고
    • Solvability of a boundary value problem with the nonlinearity satisfying a sign condition
    • C.P. Gupta, Solvability of a boundary value problem with the nonlinearity satisfying a sign condition, J. Math. Anal. Appl. 129 (1988) 482-492.
    • (1988) J. Math. Anal. Appl. , vol.129 , pp. 482-492
    • Gupta, C.P.1
  • 14
    • 1242319635 scopus 로고    scopus 로고
    • On the solvability of a two point boundary value problem at resonance II
    • C.W. Ha, C.C. Kuo, On the solvability of a two point boundary value problem at resonance II, Topol. Methods Nonlinear Anal. 11 (1998) 159-168.
    • (1998) Topol. Methods Nonlinear Anal. , vol.11 , pp. 159-168
    • Ha, C.W.1    Kuo, C.C.2
  • 15
    • 0347899764 scopus 로고    scopus 로고
    • Solvability of elliptic boundary value problems without standard Landesman-Lazer conditions
    • Z.Q. Han, Solvability of elliptic boundary value problems without standard Landesman-Lazer conditions, Acta Math. Sinica (English Ser.) 16 (2000) 349-360.
    • (2000) Acta Math. Sinica (English Ser.) , vol.16 , pp. 349-360
    • Han, Z.Q.1
  • 16
    • 1242342326 scopus 로고
    • An extension of Guo's theorem and its applications
    • Z.Q. Han, An extension of Guo's theorem and its applications, Northeast. Math. J. 7 (1991) 480-485.
    • (1991) Northeast. Math. J. , vol.7 , pp. 480-485
    • Han, Z.Q.1
  • 17
    • 0000835133 scopus 로고
    • Variational and topological methods in partially ordered Hilbert spaces
    • H. Hofer, Variational and topological methods in partially ordered Hilbert spaces, Math. Ann. 261 (1982) 493-514.
    • (1982) Math. Ann. , vol.261 , pp. 493-514
    • Hofer, H.1
  • 18
    • 0001719187 scopus 로고
    • Nonlinear second order elliptic partial differential equations
    • R. Iannacci, M.N. Nkashama, J.R. Ward, Nonlinear second order elliptic partial differential equations, Trans. Amer. Math. Soc. 311 (1989) 711-724.
    • (1989) Trans. Amer. Math. Soc. , vol.311 , pp. 711-724
    • Iannacci, R.1    Nkashama, M.N.2    Ward, J.R.3
  • 19
    • 84980167932 scopus 로고
    • Remarks on some quasi-linear elliptic equations
    • J. Kazdan, F. Warner, Remarks on some quasi-linear elliptic equations, Comm. Pure Appl. Math. 28 (1975) 567-597.
    • (1975) Comm. Pure Appl. Math. , vol.28 , pp. 567-597
    • Kazdan, J.1    Warner, F.2
  • 20
    • 0000851112 scopus 로고
    • Nonlinear perturbations of a linear elliptic boundary value problems at resonance
    • E.M. Landesman, A. Lazer, Nonlinear perturbations of a 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.2
  • 21
    • 0001284793 scopus 로고
    • Multiple solutions of semilinear elliptic problems at resonance
    • E.M. Landesman, S. Robinson, A. Rumbos, Multiple solutions of semilinear elliptic problems at resonance, Nonlinear Anal. 24 (1995) 1049-1059.
    • (1995) Nonlinear Anal. , vol.24 , pp. 1049-1059
    • Landesman, E.M.1    Robinson, S.2    Rumbos, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.