W1,p(⋅) regularity for quasilinear problems with irregular obstacles on Reifenberg domains

DOI10.1142/S0219199716500462zbMath1376.35076OpenAlexW2422202985MaRDI QIDQ5370477

The Anh Bui, Xuan Truong Le

Publication date: 20 October 2017

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199716500462

zbMATH Keywords

Reifenberg flat domainsquasilinear elliptic obstacle problems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items

Weighted \(W^{1, p(\cdot)}\)-regularity for degenerate elliptic equations in Reifenberg domains, Weighted variable Lorentz regularity for degenerate elliptic equations in Reifenberg domains, Gradient estimates for nonlinear elliptic double obstacle problems, Unnamed Item, \(W^{1, p(\cdot)}\)-regularity for a class of non-uniformly elliptic problems with Orlicz growth

Cites Work

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• Lorentz-Morrey regularity for nonlinear elliptic problems with irregular obstacles over Reifenberg flat domains
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Lebesgue and Sobolev spaces with variable exponents
• A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
• Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
• Gradient estimates for a class of parabolic systems
• \(W^{2,p(\cdot )}\)-regularity for elliptic equations in nondivergence form with BMO coefficients
• A generalization of Reifenberg's theorem in \({\mathbb{R}}^3\)
• Regularity for a more general class of quasilinear equations
• Calderón-Zygmund theory for nonlinear elliptic problems with irregular obstacles
• Reifenberg flatness of free boundaries in obstacle problems with VMO ingredients
• Global higher integrability for parabolic quasiminimizers in nonsmooth domains
• Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
• An Introduction to Variational Inequalities and Their Applications
• Flow of shear dependent electrorheological fluids
• Variable Exponent, Linear Growth Functionals in Image Restoration