Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case <inline-formula> <graphic file="1029-242X-2010-680714-i1.gif"/></inline-formula> under Natural Growth Condition

Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case <inline-formula> <graphic file="1029-242X-2010-680714-i1.gif"/></inline-formula> under Natural Growth Condition

<p/> <p>We consider the interior regularity for weak solutions of second-order nonlinear elliptic systems with subquadratic growth under natural growth condition. We obtain a general criterion for a weak solution to be regular in the neighborhood of a given point. In particularly the reg...

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Main Authors: Tan Zhong, Chen Shuhong
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/680714
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spelling doaj-b48e87810b9843f9a1bbc5ed7b293e2b2020-11-25T00:25:06ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101680714Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case <inline-formula> <graphic file="1029-242X-2010-680714-i1.gif"/></inline-formula> under Natural Growth ConditionTan ZhongChen Shuhong<p/> <p>We consider the interior regularity for weak solutions of second-order nonlinear elliptic systems with subquadratic growth under natural growth condition. We obtain a general criterion for a weak solution to be regular in the neighborhood of a given point. In particularly the regularity we obtained is optimal.</p>http://www.journalofinequalitiesandapplications.com/content/2010/680714
collection DOAJ
language English
format Article
sources DOAJ
author Tan Zhong
Chen Shuhong
spellingShingle Tan Zhong
Chen Shuhong
Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case <inline-formula> <graphic file="1029-242X-2010-680714-i1.gif"/></inline-formula> under Natural Growth Condition
Journal of Inequalities and Applications
author_facet Tan Zhong
Chen Shuhong
author_sort Tan Zhong
title Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case <inline-formula> <graphic file="1029-242X-2010-680714-i1.gif"/></inline-formula> under Natural Growth Condition
title_short Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case <inline-formula> <graphic file="1029-242X-2010-680714-i1.gif"/></inline-formula> under Natural Growth Condition
title_full Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case <inline-formula> <graphic file="1029-242X-2010-680714-i1.gif"/></inline-formula> under Natural Growth Condition
title_fullStr Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case <inline-formula> <graphic file="1029-242X-2010-680714-i1.gif"/></inline-formula> under Natural Growth Condition
title_full_unstemmed Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case <inline-formula> <graphic file="1029-242X-2010-680714-i1.gif"/></inline-formula> under Natural Growth Condition
title_sort optimal interior partial regularity for nonlinear elliptic systems for the case <inline-formula> <graphic file="1029-242x-2010-680714-i1.gif"/></inline-formula> under natural growth condition
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description <p/> <p>We consider the interior regularity for weak solutions of second-order nonlinear elliptic systems with subquadratic growth under natural growth condition. We obtain a general criterion for a weak solution to be regular in the neighborhood of a given point. In particularly the regularity we obtained is optimal.</p>
url http://www.journalofinequalitiesandapplications.com/content/2010/680714
work_keys_str_mv AT tanzhong optimalinteriorpartialregularityfornonlinearellipticsystemsforthecaseinlineformulagraphicfile1029242x2010680714i1gifinlineformulaundernaturalgrowthcondition
AT chenshuhong optimalinteriorpartialregularityfornonlinearellipticsystemsforthecaseinlineformulagraphicfile1029242x2010680714i1gifinlineformulaundernaturalgrowthcondition
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