Partial Hölder continuity for solutions of subquadratic elliptic systems in low dimensions
type: Item
instance of: scholarly article
title: Partial Hölder continuity for solutions of subquadratic elliptic systems in low dimensions
zbMATH Open document ID: 1167.35346
author: Lisa Beck
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-05-13T00:00:00Z
full work available at URL: https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/39498
Mathematics Subject Classification ID: 35J45
Mathematics Subject Classification ID: 35D10
Mathematics Subject Classification ID: 35J50
zbMATH DE Number: 5553676
zbMATH Keywords: nonlinear elliptic systems
zbMATH Keywords: partial regularity
zbMATH Keywords: boundary regularity
zbMATH Keywords: subquadratic growth
MaRDI profile type: Publication
OpenAlex ID: W2163301483
cites work: Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
cites work: Q3127979
cites work: Partial regularity up to the boundary for weak solutions of elliptic systems with nonlinearity \(q\) greater than two
cites work: Higher integrability of very weak solutions of systems of \(p(x)\)-Laplacean type
cites work: Differentiability of the solutions of nonlinear elliptic systems with natural growth
cites work: Hölder continuity and partial Hölder continuity results forH 1,q-solutions of non-linear elliptic systems with controlled growth
cites work: Hölder continuity of the solutions of some nonlinear elliptic systems
cites work: A maximum principle for nonlinear elliptic systems: Boundary fundamental estimates
cites work: Elliptic systems with nonlinearity q greater or equal to two. Regularity of the solution of the Dirichlet problem
cites work: Partial regularity of minimizers of quasiconvex integrals with subquadratic growth
cites work: Q5612041
cites work: Q5537959
cites work: Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
cites work: Q4665570
cites work: The existence of regular boundary points for non-linear elliptic systems
cites work: Regularity for degenerate elliptic problems via \(p\)-harmonic approximation
cites work: Q4399897
cites work: A counter-example to the boundary regularity of solutions to elliptic quasilinear systems
cites work: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
cites work: Nonlinear elliptic systems with quadratic growth
cites work: Q4040640
cites work: Q3151387
cites work: Q5536910
cites work: Boundary regularity for nonlinear elliptic systems
cites work: BOUNDARY REGULARITY FOR QUASILINEAR ELLIPTIC SYSTEMS
cites work: The singular set of minima of integral functionals
cites work: Bounds for the singular set of solutions to non linear elliptic systems
cites work: The singular set of solutions to non-differentiable elliptic systems
cites work: Q3884503
cites work: Q5638647
cites work: Hölder continuity of solutions of elliptic systems
DOI: 10.1016/J.JMAA.2008.12.042
description: scientific article; zbMATH DE number 5553676