Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition

Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition

We consider boundary regularity for weak solutions of second-order quasilinear elliptic systems under natural growth condition with super quadratic growth and obtain a general criterion for a weak solution to be regular in the neighborhood of a given boundary point. Combined with existing results on...

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Main Authors: Shuhong Chen, Zhong Tan
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/676215
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spelling doaj-c1c8b18817b44e31ac91703e9888c4992020-11-24T23:09:07ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/676215676215Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth ConditionShuhong Chen0Zhong Tan1Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou, Fujian 363000, ChinaSchool of Mathematical Science, Xiamen University, Xiamen, Fujian 361005, ChinaWe consider boundary regularity for weak solutions of second-order quasilinear elliptic systems under natural growth condition with super quadratic growth and obtain a general criterion for a weak solution to be regular in the neighborhood of a given boundary point. Combined with existing results on interior partial regularity, this result yields an upper bound on the Hausdorff dimension of the singular set at the boundary.http://dx.doi.org/10.1155/2013/676215
collection DOAJ
language English
format Article
sources DOAJ
author Shuhong Chen
Zhong Tan
spellingShingle Shuhong Chen
Zhong Tan
Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition
Abstract and Applied Analysis
author_facet Shuhong Chen
Zhong Tan
author_sort Shuhong Chen
title Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition
title_short Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition
title_full Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition
title_fullStr Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition
title_full_unstemmed Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition
title_sort regularity result for quasilinear elliptic systems with super quadratic natural growth condition
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description We consider boundary regularity for weak solutions of second-order quasilinear elliptic systems under natural growth condition with super quadratic growth and obtain a general criterion for a weak solution to be regular in the neighborhood of a given boundary point. Combined with existing results on interior partial regularity, this result yields an upper bound on the Hausdorff dimension of the singular set at the boundary.
url http://dx.doi.org/10.1155/2013/676215
work_keys_str_mv AT shuhongchen regularityresultforquasilinearellipticsystemswithsuperquadraticnaturalgrowthcondition
AT zhongtan regularityresultforquasilinearellipticsystemswithsuperquadraticnaturalgrowthcondition
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