| 拟线性次椭圆方程很弱解的正则性 |
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| 引用本文： | 郑神州,王喜芬.拟线性次椭圆方程很弱解的正则性[J].数学物理学报(A辑),2010,30(2):432-439. |
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| 作者姓名： | 郑神州 王喜芬 |
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| 作者单位： | 北京交通大学理学院,北京,100044 |
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| 摘 要： | 该文利用扰动向量场的Hodge分解及估计构造关于弱解X梯度场的反向Hlder不等式,从而建立了Carnot群上的散度型拟线性次椭圆方程很弱解梯度的可积性指数的提高,得到其很弱解是经典意义的弱解结论.
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| 关 键 词： | 次椭圆方程 很弱解 Carnot-Caratheodory空间 Hodge分解 反向Holder不等式 |
| 收稿时间： | 2008-12-29 |
| 修稿时间： | 2009-11-08 |
Regularity of Very Weak Solutions for a Class of Quasilinear Subelliptic Equations |
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| ZHENG Shen-Zhou,WANG Xi-Fen.Regularity of Very Weak Solutions for a Class of Quasilinear Subelliptic Equations[J].Acta Mathematica Scientia,2010,30(2):432-439. |
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| Authors: | ZHENG Shen-Zhou WANG Xi-Fen |
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| Institution: | College of Sciences, Beijing Jiaotong University, Beijing 100044 |
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| Abstract: | According to the construction of generalized reverse Hölder inequality by Hodge decomposition and estimates on disturbing vector fields, the authors obtain the improvement of integrability of very weak solutions of quasilinear subelliptic equations on Carnot group. |
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| Keywords: | SubeUiptic operators Very weak solutions Hodgedecomposition Reverse H(o)lder inequality |
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