Lorentz-Morrey regularity for nonlinear elliptic problems with irregular obstacles over Reifenberg flat domains

DOI10.3934/DCDS.2015.35.4791zbMath1335.35074OpenAlexW2324081177MaRDI QIDQ255435

Sun-Sig Byun, Yumi Cho

Publication date: 9 March 2016

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

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.4791

zbMATH Keywords

nonlinear elliptic problemMuckenhoupt weightCalderón-Zygmund estimateirregular obstacleLorentz-Morrey spaceReifenberg flat domain

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 (2)

W1,p(⋅) regularity for quasilinear problems with irregular obstacles on Reifenberg domains ⋮ Gradient estimates of parabolic Cauchy-Dirichlet problems on Morrey-Banach spaces

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