Multiplicity results for boundary value problems with potentials oscillating around resonance

DOI10.1006/jdeq.1997.3267zbMath0887.35059OpenAlexW2009075564MaRDI QIDQ1365218

Massimo Tarallo, Patrick Habets, Enrico Serra

Publication date: 25 May 1998

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3267

zbMATH Keywords

\(n\)th eigenvalueminimax classesoscillation condition at infinity

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) Variational methods for second-order elliptic equations (35J20)

Related Items (7)

Existence of multiple sign-changing solutions for a fourth-order elastic beam equation ⋮ Bifurcation from infinity and resonance results at high eigenvalues in dimension one ⋮ Multiple solutions for resonant elliptic equations via local linking theory and Morse theory ⋮ MULTIPLE SIGN CHANGING SOLUTIONS OF A QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM INVOLVING THE p-LAPLACIAN ⋮ Splitting lemma at infinity and a strongly resonant problem with periodic nonlinearity ⋮ Multiple solutions for elliptic equations with resonance ⋮ Multiple periodic solutions for perturbed relativistic pendulum systems

Cites Work

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• Critical point theory and Hamiltonian systems
• Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities
• A nonlinear boundary value problem with potential oscillating around the first eigenvalue
• On Dirichlet's boundary value problem. An \(L^p\)-theory based on a generalization of Garding's inequality
• Strict Monotonicity of Eigenvalues and Unique Continuation

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