Eigenvalue problem for \(p\)-Laplacian with mixed boundary conditions

DOI10.1186/2251-7456-7-8zbMath1277.35273OpenAlexW2109685573WikidataQ59294238 ScholiaQ59294238MaRDI QIDQ387107

Guofa Li, Bitao Cheng, Haihong Liu

Publication date: 11 December 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-7-8

zbMATH Keywords

eigenvalue problemvariational methodsmixed boundary conditions\(p\)-LaplacianLjusternik-Schnirelman principle

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) General theory of partial differential operators (47F05)

Related Items (5)

Mixed boundary value problems for fully nonlinear degenerate or singular equations ⋮ Existence of solutions for resonant double phase problems with mixed boundary value conditions ⋮ Study to the Resonance of $ p $-Laplacian problem with mixed boundary ⋮ Unnamed Item ⋮ Eigenproblem for \(p\)-Laplacian and nonlinear elliptic equation with nonlinear boundary conditions

Cites Work

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• Existence of positive solutions of elliptic mixed boundary value problem
• On the \(p(x)\)-Laplacian Robin eigenvalue problem
• \(L^\infty\)-estimates for nonlinear elliptic Neumann boundary value problems
• Remarks on eigenvalue problems involving the \(p(x)\)-Laplacian
• Well-posedness for a class of mixed problem of wave equations
• Isolation and simplicity for the first eigenvalue of the \(p\)-Laplacian with a nonlinear boundary condition
• Eigenvalues of the \(p(x)\)-Laplacian Neumann problems
• Eigenvalues of the \(p(x)\)-Laplacian Steklov problem
• Eigenvalue problems for the \(p\)-Laplacian

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