| OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS UNDER THE NATURAL GROWTH CONDITION： THE METHOD OF A-HARMONIC APPROXIMATION |
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| 引用本文： | 陈淑红,谭忠.OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS UNDER THE NATURAL GROWTH CONDITION： THE METHOD OF A-HARMONIC APPROXIMATION[J].数学物理学报(B辑英文版),2007,27(3):491-508. |
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| 作者姓名： | 陈淑红 谭忠 |
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| 作者单位： | School of Mathematics Science Xiamen University，School of Mathematics Science，Xiamen University，Xiamen 361005，China，Xiamen 361005，China |
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| 基金项目： | 国家自然科学基金，厦门大学"985工程"项目 |
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| 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.
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| 关 键 词： | 非线性椭圆系统 天然生长条件 最优局部正则性 谐波逼近法 |
| 收稿时间： | 23 May 2005. |
| 修稿时间： | 2005-03-23 |
Optimal interior partial regularity for nonlinear elliptic systems under the natural growth condition: the method of A-harmonic approximation |
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| Shuhong Chen,Zhong Tan,.Optimal interior partial regularity for nonlinear elliptic systems under the natural growth condition: the method of A-harmonic approximation[J].Acta Mathematica Scientia,2007,27(3):491-508. |
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| Authors: | Shuhong Chen Zhong Tan |
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| Institution: | School of Mathematics Science, Xiamen University, Xiamen 361005, China |
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| 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. |
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| Keywords: | Nonlinear elliptic systems the natural growth condition optimal partial regularity A-harmonic approximation technique |
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