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

作　　者：邱亚林 谭忠 

机构地区：[1]School of Mathematical Sciences,Xiamen University [2]School of Mathematics and Computing Science,Longyan University

出　　处：《Acta Mathematica Scientia》2010年第5期1541-1554,共14页数学物理学报（B辑英文版）

基　　金：Supported by NSF of China (10531020);the Education Department of Fujian Province(JK2009045);the Program of 985 Innovation Engieering on Information in Xiamen University(2004-2007)

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 HSlder exponent for the derivative of a weak solution on its regular set.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 HSlder 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 

分 类 号：O175.25[理学—数学] O171[理学—基础数学]