Global weighted estimates for nonlinear elliptic obstacle problems over Reifenberg domains

DOI10.1090/S0002-9939-2015-12458-6zbMath1315.35113OpenAlexW1988454249MaRDI QIDQ5246880

Sun-Sig Byun, Yumi Cho, Dian K. Palagachev

Publication date: 22 April 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2015-12458-6

zbMATH Keywords

BMOnonlinear elliptic equationobstacle problemMorrey spaceMuckenhoupt weightCalderón-Zygmund estimateirregular obstacleReifenberg flat domain\(p\)-Laplacean

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) PDEs with low regular coefficients and/or low regular data (35R05) Weak solutions to PDEs (35D30) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items (9)

Global estimates for non-uniformly nonlinear elliptic equations in a convex domain ⋮ Global gradient estimates for nonlinear elliptic equations with vanishing Neumann data in a convex domain ⋮ Global weighted estimates for the nonlinear parabolic equations with non-standard growth ⋮ Global weighted Orlicz estimates for irregular obstacle problems with general growth over bounded nonsmooth domains ⋮ Survey on gradient estimates for nonlinear elliptic equations in various function spaces ⋮ Existence and regularity for nonlinear parabolic double obstacle problems ⋮ Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces ⋮ Nonlinear gradient estimates for parabolic obstacle problems in non-smooth domains ⋮ Lorentz-Morrey regularity for nonlinear elliptic problems with irregular obstacles over Reifenberg flat domains

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