Nonlinear Calderón-Zygmund theory in the limiting case
type: Item
instance of: scholarly article
title: Nonlinear Calderón-Zygmund theory in the limiting case
zbMATH Open document ID: 1390.35078
author: B. Avelin
author: Tuomo Kuusi
author: Giuseppe Mingione
published in: Archive for Rational Mechanics and Analysis
publication date: 2018-02-28T00:00:00Z
review text: The authors analyze the limiting case of regularity theory for measure data problems along with the classical Calderón-Zygmund theory in the setting of nonlinear equations. The prototype model is \[ -\operatorname{div}a(Du)=\mu\quad\text{in}\quad\Omega, \] which includes the case of the \(p\)-Laplace operator. Here, \(\Omega\) is an open subset of \(\mathbb R^n\), \(n\geq 2\), and \(\mu\) is a Borel measure with locally finite mass on \(\Omega\).
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 6844580
zbMATH Keywords: nonlinear elliptic equations
zbMATH Keywords: nonlinear Calderón-Zygmund theory
Wikidata QID: Q58880664
MaRDI profile type: Publication
full work available at URL: s00205-017-1171-7
OpenAlex ID: W2755712064
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DOI: 10.1007/S00205-017-1171-7
description: scientific article; zbMATH DE number 6844580