| 一类非线性椭圆组很弱解的正则性 |
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| 引用本文： | 郑神州,方爱农.一类非线性椭圆组很弱解的正则性[J].数学学报,1999,42(1):119-121. |
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| 作者姓名： | 郑神州 方爱农 |
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| 作者单位： | 1. 北方交通大学数学系,北京,100044
2. 上海交通大学应用数学系,上海,200030 |
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| 摘 要： | 本文在可控增长条件（1．2）－（14）下，对一类非线性椭圆方程组（1．1）改进其很弱解偏微商的可积性，使其为经典意义下的弱解．
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| 关 键 词： | 很弱解 Hodge分解 广义逆Holder不等式 |
| 修稿时间： | :1997-03-1 |
Regularity of very Weak Solutions for a Class of Nonlinear Elliptic Systems |
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| Zheng Shenzhou,Fang Ainong.Regularity of very Weak Solutions for a Class of Nonlinear Elliptic Systems[J].Acta Mathematica Sinica,1999,42(1):119-121. |
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| Authors: | Zheng Shenzhou Fang Ainong |
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| Institution: | Zheng Shenzhou Fang Ainong;
(Department of Mathematics, NorthernJiaotong University, Beijing 100044, P. R. China) ;
(Department of Applied Mathematics,Shanghai Jiaotong University, Shanghai 200030, P. R.
China) |
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| Abstract: | In this paper, we improve the integrability of the derivatives of very weak solutions for a class of nonlinear elliptic systems (1.1). which satisfy. the controllable growth conditions (1.2)-(1.4). |
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| Keywords: | Very weak solutions Hodge decomposition Generalized reverse H■lder inequality |
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