| 二阶非线性椭圆组的椭圆性条件和正则性(英文) |
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| 引用本文： | 简怀玉.二阶非线性椭圆组的椭圆性条件和正则性(英文)[J].怀化学院学报,1989(6). |
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| 作者姓名： | 简怀玉 |
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| 作者单位： | 怀化师专数学科 |
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| 摘 要： | 本文引进了比通常的椭圆性条件更弱的“拟椭圆”条件和“适合椭圆”条件。在“拟椭圆”条件下,证明了二阶非线性椭圆型方程组的正则性,在“适合椭圆”条件下,得到了二阶非线性椭圆型方程组的Lipschitz连续性。
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| 关 键 词： | 椭圆性条件 正则性 Lipschitz连续性 |
Ellipticity and Regularity of Second Order Nonlinear Elliptic Systems |
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| Jian Huaiyu.Ellipticity and Regularity of Second Order Nonlinear Elliptic Systems[J].Journal of Huaihua University,1989(6). |
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| Authors: | Jian Huaiyu |
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| Institution: | Department of Mathematics |
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| Abstract: | First we demonstrate partial regularity for solutions of second order nonlinear elliptic partial systems which only satisfy "quasi-ellipticity" introduced in this paper. Secondly we prove local Lipschitz continuity for solutions of the same class of systems only under the condition, "appropriate ellipticity" which is stated in our paper. |
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| Keywords: | Elliptidty condition Regularity Lipschitz continuity |
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