Global gradient estimates for \(p(x)\)-Laplace equation in non-smooth domains

DOI10.3934/cpaa.2014.13.2559zbMath1304.35726OpenAlexW2322594100MaRDI QIDQ479553

Lihe Wang, Yun-Ho Kim, Chao Zhang, Shu Lin Zhou

Publication date: 5 December 2014

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.2559

zbMATH Keywords

BMO spaceReifenberg flat domain\(p(x)\)-Laplace equationsglobal Caldéron-Zygmund theoryglobal gradient estimatesmaximal function technique

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) PDEs with low regular coefficients and/or low regular data (35R05) Quasilinear elliptic equations with (p)-Laplacian (35J92) Harmonic analysis and PDEs (42B37)

Related Items (3)

Gradient estimates for the strong \(p(x)\)-Laplace equation ⋮ Variable Hardy spaces associated with Schrödinger operators on strongly Lipschitz domains with their applications to regularity for inhomogeneous Dirichlet problems ⋮ Gradient estimates for non-uniformly elliptic problems with BMO nonlinearity

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