On \(W^{1,\gamma(\cdot)}\)-regularity for nonlinear non-uniformly elliptic equations
type: Item
instance of: scholarly article
title: On \(W^{1,\gamma(\cdot)}\)-regularity for nonlinear non-uniformly elliptic equations
zbMATH Open document ID: 1415.35075
author: Shuang Liang
author: Shenzhou Zheng
published in: Manuscripta Mathematica
publication date: 2019-04-30T00:00:00Z
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 7049123
zbMATH Keywords: Calderón-Zygmund estimate
zbMATH Keywords: variable exponent spaces
zbMATH Keywords: log-Hölder continuous
MaRDI profile type: Publication
full work available at URL: s00229-018-1053-9
OpenAlex ID: W2811427028
cites work: Gradient estimates for thep(x)-Laplacean system
cites work: Gradient estimates for a class of parabolic systems
cites work: Elliptic equations with BMO coefficients in Reifenberg domains
cites work: \(W^{1,p(\cdot)}\)-regularity for elliptic equations with measurable coefficients in nonsmooth domains
cites work: Global gradient estimates for non-uniformly elliptic equations
cites work: Q4389910
cites work: Regularity for double phase variational problems
cites work: Bounded minimisers of double phase variational integrals
cites work: Calderón-Zygmund estimates and non-uniformly elliptic operators
cites work: Existence of weak solutions for elliptic systems with p,q-growth
cites work: On the Higher Integrability of the Gradient of Weak Solutions of Certain Degenerate Elliptic Systems
cites work: On the \(L_p\)-solvability of higher-order parabolic and elliptic systems with BMO coefficients
cites work: Higher integrability for minimizers of integral functionals with \((p,q)\) growth
cites work: Sharp regularity for functionals with (\(p\),\(q\)) growth
cites work: Q3151387
cites work: Projections onto gradient fields and $L^{p}$-estimates for degenerated elliptic operators
cites work: Boundary regularity in variational problems
cites work: Parabolic and Elliptic Equations with VMO Coefficients
cites work: Regularity for minimizers of integrals with nonstandard growth
cites work: Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
cites work: Gradient potential estimates
cites work: Harnack's inequality for elliptic equations and the Hölder property of their solutions
cites work: Regularity of relaxed minimizers of quasiconvex variational integrals with \((p, q)\)-growth
cites work: Lorentz estimates for the gradient of weak solutions to elliptic obstacle problems with partially BMO coefficients
cites work: Regularity of a class of non-uniformly nonlinear elliptic equations
cites work: Global estimates for non-uniformly nonlinear elliptic equations in a convex domain
DOI: 10.1007/S00229-018-1053-9
description: scientific article; zbMATH DE number 7049123