Existence and regularity of solutions for nonlinear measure data problems with general growth
type: Item
instance of: scholarly article
title: Existence and regularity of solutions for nonlinear measure data problems with general growth
zbMATH Open document ID: 1465.35203
author: Sun-Sig Byun
author: Namkyeong Cho
author: Yeonghun Youn
published in: Calculus of Variations and Partial Differential Equations
publication date: 2021-05-06T00:00:00Z
review text: The authors study the following measure data problem with general growth \[ \begin{cases} -\operatorname{div}(A(x,Du))=\mu & \text{ in } \Omega\\ \ u=0 & \text{ on } \partial\Omega \end{cases} \] where \(\Omega\subset\mathbb R^n, n\geq 2\) is a bounded domain with a Reifenberg-flat boundary and \(\mu\) is a Radone measure with finite mass. Using the technique of SOLA solutions, the authors obtain existence of distributional solutions and an optimal Calderón-Zygmund type estimate for the solutions.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35R06
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 7344810
zbMATH Keywords: nonlinear elliptic equations
zbMATH Keywords: Radon measure
zbMATH Keywords: Calderón-Zygmund estimates
Wikidata QID: Q115386853
reviewed by: Lubomira Softova
MaRDI profile type: Publication
full work available at URL: s00526-020-01910-6
OpenAlex ID: W3152938247
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DOI: 10.1007/S00526-020-01910-6
description: scientific article; zbMATH DE number 7344810