Eigenvalues for a Neumann boundary problem involving the \(p(x)\)-Laplacian

DOI10.1155/2015/632745zbMath1375.35210OpenAlexW1992574658WikidataQ59102526 ScholiaQ59102526MaRDI QIDQ277785

Qing Miao

Publication date: 2 May 2016

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/632745

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

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Cites Work

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• Eigenvalues of the \(p(x)\)-Laplacian Neumann problems
• Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
• 𝑝(𝑥)-Laplacian with indefinite weight
• Existence of three solutions for a Neumann problem involving thep(x)-Laplace operator
• Sobolev embeddings with variable exponent
• On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
• Eigenvalues for a fourth order elliptic problem
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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