Existence of solutions for an anisotropic elliptic problem with variable exponent and singularity

DOI10.1002/mma.3729zbMath1343.35118OpenAlexW1920334191MaRDI QIDQ5739250

Mei Yu, Li Wang, Sufang Tang

Publication date: 15 July 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3729

zbMATH Keywords

singularitycritical point theoryanisotropic Sobolev spaces

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Degenerate elliptic equations (35J70) Variational principles in infinite-dimensional spaces (58E30)

Related Items

Some remarks on an eigenvalue problem for an anisotropic elliptic equation with indefinite weight

Cites Work

• On the superlinear problems involving \(p(x)\)-Laplacian-like operators without AR-condition
• Existence of strong solutions of a \(p(x)\)-Laplacian Dirichlet problem without the Ambrosetti-Rabinowitz condition
• Remarks on the existence of three solutions for the \(p(x)\)-Laplacian equations
• Multiple solutions for noncooperative \(p(x)\)-Laplacian equations in \(\mathbb R^N\) involving the critical exponent
• Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
• Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
• Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• Anisotropic variable exponent Sobolev spaces and -Laplacian equations
• Existence and multiplicity of solutions for an anisotropic elliptic problem involving variable exponent growth conditions
• On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)