Acta mathematica scientia, Series B >
OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS UNDER THE NATURAL GROWTH CONDITION: THE METHOD OF A-HARMONIC APPROXIMATION
Received date: 2005-05-23
Revised date: 1900-01-01
Online published: 2007-07-20
In this article, the authors consider the nonlinear elliptic systems under the natural growth condition. They use a new method introduced by Duzaar and Grotowski, for proving partial regularity for weak solutions, based on a generalization of the technique of harmonic approximation. And directly establish the optimal Holder exponent for the derivative of a weak solution.
Chen Shuhong , Tan Zhong . OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS UNDER THE NATURAL GROWTH CONDITION: THE METHOD OF A-HARMONIC APPROXIMATION[J]. Acta mathematica scientia, Series B, 2007 , 27(3) : 491 -508 . DOI: 10.1016/S0252-9602(07)60049-6
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