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Nontrivial solutions of elliptic semilinear equations at resonance

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Publication:1974137
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DOI10.1007/s002290050217zbMath0958.35051OpenAlexW1988751948MaRDI QIDQ1974137

Schechter, Martin, Perera, Kanishka

Publication date: 4 January 2001

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290050217


zbMATH Keywords

critical groupsdouble resonance


Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Optimality conditions for problems in abstract spaces (49K27)


Related Items (5)

Computations of critical groups and applications to some differential equations at resonance ⋮ Existence of multiple solutions of a second-order difference boundary value problem ⋮ Multiple periodic solutions for difference equations with double resonance at infinity ⋮ Computation of critical groups in resonance problems where the nonlinearity may not be sublinear. ⋮ Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues







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