数学物理学报(英文版)

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OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS UNDER THE NATURAL GROWTH CONDITION: THE METHOD OF A-HARMONIC APPROXIMATION

陈淑红; 谭忠   

  1. 厦门大学数学学院, 厦门 361005
  • 收稿日期:2005-05-23 修回日期:1900-01-01 出版日期:2007-07-20 发布日期:2007-07-20
  • 通讯作者: 谭忠
  • 基金资助:

    Supported by NSF of China (10531020) and the Program of 985 Innovation
    Engieering on Information in Xiamen University (2004-2007).

OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS UNDER THE NATURAL GROWTH CONDITION: THE METHOD OF A-HARMONIC APPROXIMATION

Chen Shuhong; Tan Zhong   

  1. School of Mathematics Science, Xiamen University, Xiamen 361005, China
  • Received:2005-05-23 Revised:1900-01-01 Online:2007-07-20 Published:2007-07-20
  • Contact: Tan Zhong

摘要:

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.

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

Abstract:

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.

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

中图分类号: 

  • 35J60