EXISTENCE OF A POSITIVE INFIMUM EIGENVALUE FOR THE p(x)-LAPLACIAN NEUMANN PROBLEMS WITH WEIGHTED FUNCTIONS

DOI10.11568/KJM.2014.22.3.395zbMath1474.35198OpenAlexW1990877258MaRDI QIDQ5217528

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Publication date: 24 February 2020

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2014.22.3.395

zbMATH Keywords

weak solutioneigenvalueNeumann boundary condition\(p(x)\)-Laplacianweighted variable exponent Lebesgue-Sobolev spaces

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Weak solutions to PDEs (35D30) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Existence of solutions and positivity of the infimum eigenvalue for degenerate elliptic equations with variable exponents
• On the eigenvalues of weighted \(p(x)\)-Laplacian on \(\mathbb R^N\)
• Global bifurcation for a class of degenerate elliptic equations with variable exponents
• Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Eigenvalues of the \(p(x)\)-Laplacian Neumann problems
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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