Regularity of Weak Solutions of Nonlinear Equations with Discontinuous Coefficients

被引：0

作者：

Qi Kang RAN Department of Applied Mathematics

机构：

来源：

Acta Mathematica Sinica(English Series) | 2005年 / 21卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Nonlinear elliptic equations; Local Regularity; Calderón-Zygmund decomposition; VMO space; Local weak L~p(Ω) space;

D O I：

暂无

中图分类号：

O241.7 [非线性代数方程和超越方程的数值解法];

学科分类号：

070102 ;

摘要：

In this paper,we prove that the weak solutions u∈W(Ω) (1<p≥∞) of the followingequation with vanishing mean oscillation coefficients A(x):-div[(A(x)▽u·▽u)~((p-2)/2)A(x)▽u+|F(x)|F(x)]=B(x,u,▽u)belong to W(Ω) ( q∈(p,∞)),provided F∈L~q(Ω) and B(x,u,h) satisfies proper growth con-ditions,where Ω R~N (N 2) is a bounded open set,A(x)=(A(x))is a symmetric matrixfunction.

引用

页码：705 / 714

页数：10

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