Acta mathematica scientia, Series B >
OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS WITH DINI CONTINUOUS COEFFICIENTS
Received date: 2008-06-27
Online 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).
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.
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 . DOI: 10.1016/S0252-9602(10)60147-6
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