Nonlinear elliptic problems with resonance at the two first eigenvalue: a variational approach

DOI10.4067/S0716-09172001000100003MaRDI QIDQ6646681

Mohamed Amine Moussaoui

Publication date: 3 December 2024

Published in: Proyecciones (Search for Journal in Brave)

zbMATH Keywords

eigenvaluevariational method\(p\)-Laplacianresonance

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Cites Work

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• Nonresonance below the first eigenvalue for a semilinear elliptic problem
• Variational methods and semilinear elliptic equations
• The beginning of the Fučik spectrum for the \(p\)-Laplacian
• Strongly nonlinear elliptic problems near resonance: a variational approach
• Linking theorems and applications to semilinear elliptic problems at resonance
• Existence of solution for a class of semilinear elliptic problems at double resonance
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Strict Monotonicity of Eigenvalues and Unique Continuation
• Variational elliptic problems which are nonquadratic at infinity
• Nonlinear Elliptic Boundary Value Problems at Strong Resonance

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