一类具间断系数退化椭圆型方程的Lp,λ正则性

王春华;郑神州

系统科学与数学 ›› 2010, Vol. 30 ›› Issue (2) : 157-172.

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PDF(299 KB)
系统科学与数学 ›› 2010, Vol. 30 ›› Issue (2) : 157-172. DOI: 10.12341/jssms08929
论文

一类具间断系数退化椭圆型方程的Lp,λ正则性

    王春华, 郑神州
作者信息 +

Lp,λ-Regularity for a Class of Degenerate Elliptic Equations with Discontinuous Coefficients

    WANG Chunhua, ZHENG Shenzhou
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文章历史 +

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(,u)对任意u关于x一致满足VMO条件下在Morrey空间Lp,λ的内部正则性.

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 Lp,λ-regular.

关键词

VMO函数 / $L^{p / \lambda}$-正则性 / 退化椭圆型方程.

Key words

VMO functions / $L^{p / \lambda}$-regularity / degenerate elliptic equations.

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导出引用
王春华 , 郑神州. 一类具间断系数退化椭圆型方程的Lp,λ正则性. 系统科学与数学, 2010, 30(2): 157-172. https://doi.org/10.12341/jssms08929
WANG Chunhua , ZHENG Shenzhou. Lp,λ-Regularity for a Class of Degenerate Elliptic Equations with Discontinuous Coefficients. Journal of Systems Science and Mathematical Sciences, 2010, 30(2): 157-172 https://doi.org/10.12341/jssms08929
中图分类号: 35J60    35K05   
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