Gradient estimates for the strong \(p(x)\)-Laplace equation

DOI10.3934/DCDS.2017175zbMath1360.35309OpenAlexW2606870066MaRDI QIDQ524540

Chao Zhang, Xia Zhang, Shu Lin Zhou

Publication date: 3 May 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017175

zbMATH Keywords

variable exponentsgeneralized Lebesgue and Sobolev spacesnonlinear Calderón-Zygmund theorystrong \(p(x)\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (5)

Equivalence of viscosity and weak solutions for the normalized \(p(x)\)-Laplacian ⋮ Existence and multiplicity of solutions for \(p(x)\)-curl systems without the Ambrosetti-Rabinowitz condition ⋮ Kato’s inequality for the strong $p(\cdot )$-Laplacian ⋮ Interior gradient estimate for steady flows of electrorheological fluids ⋮ Existence and multiplicity results for a new \(p(x)\)-Kirchhoff problem

Cites Work

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