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Volumn 256, Issue 1, 2001, Pages 1-12

Existence and multiplicity of solutions of semilinear elliptic equations

Author keywords

Semilinear elliptic equation; Dirichlet boundary value problem; nontrivial solution; reduction method; critical point; (PS) condition; Sobolev's embedding theorem

Indexed keywords


EID: 0035315120     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7199     Document Type: Article
Times cited : (6)

References (8)
  • 1
    • 0001563645 scopus 로고
    • Saddle points and multiple solutions of differential equations
    • Amann H. Saddle points and multiple solutions of differential equations. Math. Z. 169:1979;127-166.
    • (1979) Math. Z. , vol.169 , pp. 127-166
    • Amann, H.1
  • 2
    • 84972496024 scopus 로고
    • Nontrivial solutions for a strongly resonant problem
    • Arcoya D., Costa D. G. Nontrivial solutions for a strongly resonant problem. Differential Integral Equations. 8:1995;151-159.
    • (1995) Differential Integral Equations , vol.8 , pp. 151-159
    • Arcoya, D.1    Costa, D.G.2
  • 4
    • 38249029280 scopus 로고
    • On an elliptic boundary value problem at double resonance
    • Cac N. P. On an elliptic boundary value problem at double resonance. J. Math. Anal. Appl. 132:1988;473-483.
    • (1988) J. Math. Anal. Appl. , vol.132 , pp. 473-483
    • Cac, N.P.1
  • 5
    • 34250273736 scopus 로고
    • Critical point theory and the number of solutions of a nonlinear Dirichlet problem
    • Castro A., Lazer A. C. Critical point theory and the number of solutions of a nonlinear Dirichlet problem. Ann. of Math. 18:1977;113-137.
    • (1977) Ann. of Math. , vol.18 , pp. 113-137
    • Castro, A.1    Lazer, A.C.2
  • 6
    • 38249001107 scopus 로고
    • Multiplicity results for semilinear elliptic problems at resonance and with jumping nonlinearities
    • Hirano N., Nishimura T. Multiplicity results for semilinear elliptic problems at resonance and with jumping nonlinearities. J. Math. Anal. Appl. 180:1993;566-586.
    • (1993) J. Math. Anal. Appl. , vol.180 , pp. 566-586
    • Hirano, N.1    Nishimura, T.2
  • 8
    • 0001071010 scopus 로고
    • A reduction method for some nonlinear Dirichlet problems
    • Thews K. A reduction method for some nonlinear Dirichlet problems. Nonlinear Anal. 3:1979;795-813.
    • (1979) Nonlinear Anal. , vol.3 , pp. 795-813
    • Thews, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.