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一类具间断系数退化椭圆型方程的$L^{p,\lambda}$正则性
引用本文:王春华,郑神州.一类具间断系数退化椭圆型方程的$L^{p,\lambda}$正则性[J].系统科学与数学,2010,30(2):157-172.
作者姓名:王春华  郑神州
作者单位:北京交通大学理学院, 北京 100044
摘    要:得到一类退化椭圆型方程弱解梯度在其拟线性系数矩阵$A(\cdot,u)$对任意$u$关于$x$一致满足VMO条件下在Morrey空间$L^{p,\lambda}$的内部正则性.

关 键 词:VMO函数  $L^{p  \lambda}$-正则性  退化椭圆型方程.
收稿时间:2006-10-29

$L^{p,\lambda}$-Regularity for a Class of Degenerate Elliptic Equations with Discontinuous Coefficients
WANG Chunhua,ZHENG Shenzhou.$L^{p,\lambda}$-Regularity for a Class of Degenerate Elliptic Equations with Discontinuous Coefficients[J].Journal of Systems Science and Mathematical Sciences,2010,30(2):157-172.
Authors:WANG Chunhua  ZHENG Shenzhou
Institution:School of Science, Beijing Jiaotong University, Beijing 100044
Abstract:A class of quasi-linear degenerate elliptic equations, which coefficient matrix satisfies VMO conditions uniformly with respect to $x$ for any given $u$, is considered. It is shown that the gradient of its weak solution is $L^{p,\lambda}$-regular.
Keywords:VMO functions  $L^{p  \lambda}$-regularity  degenerate elliptic equations  
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