Computation of critical groups in resonance problems where the nonlinearity may not be sublinear.

DOI10.1016/S0362-546X(00)00133-4zbMath1088.58005MaRDI QIDQ5953904

Shu-Jie Li, Perera, Kanishka

Publication date: 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Morse theoryresonancecritical groups at infinty

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Existence of solutions for minimax problems (49J35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

On resonant Neumann problems: multiplicity of solutions ⋮ Non-uniformly asymptotically linear \(p\)-Laplacian problems ⋮ Existence of multiple solutions of a second-order difference boundary value problem ⋮ Existence of multiple weak solutions for asymptotically linear wave equations ⋮ CRITICAL GROUPS AT INFINITY, SADDLE POINT REDUCTION AND ELLIPTIC RESONANT PROBLEMS ⋮ On the role played by the Fučík spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist

Cites Work

• Infinite dimensional Morse theory and multiple solution problems
• Nontrivial solutions of elliptic semilinear equations at resonance
• Double resonance problems with respect to the Fucik spectrum
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
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