On a critical point theorem and an application to a nonresonance problem between two eigenvalues of the \(p\)-Laplacian

DOI10.5802/afst.951zbMath0971.35031OpenAlexW2078679341MaRDI QIDQ5930228

Omar Chakrone, Aomar Anane

Publication date: 28 June 2001

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2000_6_9_1_5_0

zbMATH Keywords

existencespectrumPalais-Smale property

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) General topics in linear spectral theory for PDEs (35P05) Variational methods applied to PDEs (35A15) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items

Nonresonance between the first two eigenvalues for a Steklov problem, Asymmetric elliptic problems with indefinite weights, Unnamed Item, Eigenproblem for \(p\)-Laplacian and nonlinear elliptic equation with nonlinear boundary conditions

Cites Work

• Global bifurcation from the eigenvalues of the \(p\)-Laplacian
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• Existence of solution for a class of semilinear elliptic problems at double resonance
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• Non-trivial solutions of elliptic equations at resonance
• Strict Monotonicity of Eigenvalues and Unique Continuation
• On certain second order ordinary differential equations associated with Sobolev-Poincaré-type inequalities
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