Multiple solutions to a class of inclusion problem with thep(x)-Laplacian

DOI10.1080/00036811.2010.551765zbMath1247.35209OpenAlexW1965651311MaRDI QIDQ2903156

Bin Ge, Qing-Mei Zhou

Publication date: 23 August 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.551765

zbMATH Keywords

nonlinear eigenvalue problemmultiple solutionslocally Lipschitz function\(p(x)\)-Laplacianvariable exponent Sobolev space

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

Infinitely many solutions for differential inclusion problems in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian ⋮ Critical points approaches to elliptic problems driven by a \(p(x)\)-Laplacian

Cites Work

• Unnamed Item
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• Multiple solutions for inequality Dirichlet problems by the \(p(x)\)-Laplacian
• Remarks on eigenvalue problems involving the \(p(x)\)-Laplacian
• Existence and multiplicity of solutions for \(p(x)\)-Laplacian equation with nonsmooth potential
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• On some elliptic hemivariational and variational-hemivariational inequalities
• Solvability of nonlinear variational-hemivariational inequalities
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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