OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS WITH DINI CONTINUOUS COEFFICIENTS

doi:10.1016/S0252-9602(10)60147-6

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (5): 1541-1554.doi: 10.1016/S0252-9602(10)60147-6

OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS WITH DINI CONTINUOUS COEFFICIENTS

邱亚林^{1, 2}|谭忠¹

1.School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
2.School of Mathematics and Computing Science, Longyan University, Longyan 364000, China

收稿日期:2008-06-27 出版日期:2010-09-20 发布日期:2010-09-20
基金资助:
Supported by NSF of China (10531020) and the Education Department of Fujian Province (JK2009045) and the Program of 985 Innovation Engieering on Information in Xiamen University (2004-2007).

OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS WITH DINI CONTINUOUS COEFFICIENTS

QIU Ya-Lin^{1, 2}, TAN Zhong¹

1.School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
2.School of Mathematics and Computing Science, Longyan University, Longyan 364000, China

Received:2008-06-27 Online:2010-09-20 Published:2010-09-20
Supported by:
Supported by NSF of China (10531020) and the Education Department of Fujian Province (JK2009045) and the Program of 985 Innovation Engieering on Information in Xiamen University (2004-2007).

摘要/Abstract

摘要：

In this article, we consider nonlinear elliptic systems of divergence type with Dini continuous coefficients. The authors use a new method introduced by Duzaar and Grotowski, to prove partial regularity for weak solutions, based on a generalization of the technique of harmonic
approximation and directly establish the optimal H\"{o}lder exponent for the derivative of a weak solution on its regular set.

关键词: nonlinear elliptic systems, the natural growth condition, optimal partial regularity, A-harmonic approximation technique

Abstract:

Key words: nonlinear elliptic systems, the natural growth condition, optimal partial regularity, A-harmonic approximation technique

中图分类号:

35J45

邱亚林, 谭忠. OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS WITH DINI CONTINUOUS COEFFICIENTS[J]. 数学物理学报(英文版), 2010, 30(5): 1541-1554.

QIU Ya-Lin, TAN Zhong. OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS WITH DINI CONTINUOUS COEFFICIENTS[J]. Acta mathematica scientia,Series B, 2010, 30(5): 1541-1554.

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OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS WITH DINI CONTINUOUS COEFFICIENTS

OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS WITH DINI CONTINUOUS COEFFICIENTS

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