Global higher integrability of Jacobians on bounded domains
type: Item
instance of: scholarly article
title: Global higher integrability of Jacobians on bounded domains
zbMATH Open document ID: 1008.42014
DOI: 10.1016/S0294-1449(00)00108-6
author: Chun Li
author: Kewei Zhang
author: Jeff A. Hogan
author: Alan McIntosh
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2003-03-31T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78491
review text: Let \(\Omega\) be a bounded domain. The authors give conditions for a vector-valued function in the Sobolev space \(W^{1,n}(\Omega ,{\mathbb R}^n)\) satisfying that \(\det Du(x)\geq 0\) on \(\Omega\) implies \(\det Du(x)\) is globally higher integrable on \(\Omega\). Also a condition that is sufficient to imply that \(\det Du(x)\) belongs to the Hardy space \(h^{1}_{z}(\Omega)\) is given.
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 31B10
Mathematics Subject Classification ID: 42B30
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 49Q15
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 1471448
zbMATH Keywords: Jacobians
zbMATH Keywords: Sobolev space
zbMATH Keywords: Hardy space
zbMATH Keywords: higher integrability
zbMATH Keywords: compensated compactness
zbMATH Keywords: differential forms
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1471448