| 具有Dini连续性系数的非线性椭圆方程组在自然增长条件下的最优内部部分正则性 |
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| 引用本文： | 袁秋宝,谭忠.具有Dini连续性系数的非线性椭圆方程组在自然增长条件下的最优内部部分正则性[J].数学研究,2007,40(3):233-247. |
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| 作者姓名： | 袁秋宝 谭忠 |
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| 作者单位： | 厦门大学数学科学学院,福建,厦门,361005 |
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| 基金项目： | 厦门大学985工程项目 |
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| 摘 要： | 本文我们研究的是具有Dini连续性系数的散度形式的非线性椭圆方程组在自然增长条件下的问题．我们证明所用的方法是有Dugaar和Grotowski所引进的调和逼近技巧。这种技窍在证明弱解的局部正则性时非常重要．我们可以用之直接得到最优局部正则性结果．
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| 关 键 词： | 椭圆方程组 Dini连续性 自然增长条件 Γ调和逼近法 Method of Г-harmonic approximation. |
| 修稿时间： | 2007-01-31 |
Optimal Interior Partial Regularity for Nonlinear Elliptic Systems Under the Natural Growth Condition with Dini Continuous Coefficients |
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| Yuan Qiubao,Tan Zhong.Optimal Interior Partial Regularity for Nonlinear Elliptic Systems Under the Natural Growth Condition with Dini Continuous Coefficients[J].Journal of Mathematical Study,2007,40(3):233-247. |
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| Authors: | Yuan Qiubao Tan Zhong |
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| Institution: | School of Mathematical Science Xiamen University, Xiamen Fujian 361005 |
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| Abstract: | In this paper, we oonsider the nonlinear elliptic systems of divergence form with Dini continuous coefficients under the natural growth condition. Our method of proof is based on a generalization of the technique of harmonic approximation introduced by Duzaar and grotowski, which is useful for proving partial regularity for weak solutions. In this case, we directly get the optimal partial regularity result. |
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| Keywords: | Elliptic systems Dini continuity Natural growth condition |
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