A priori Estimates and Existence for Elliptic Systems via Bootstrap in Weighted Lebesgue Spaces

被引：0

作者：

P. Quittner

Ph. Souplet

机构：

[1] Comenius University,Institute of Applied Mathematics

[2] Université de Versailles,Laboratoire de Mathématiques Appliquées UMR CNRS 7641

来源：

Archive for Rational Mechanics and Analysis | 2004年 / 174卷

关键词：

Bounded Domain; Existence Result; Elliptic System; Lebesgue Space; Bootstrap Procedure;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We present a new general method to obtain regularity and a priori estimates for solutions of semilinear elliptic systems in bounded domains. This method is based on a bootstrap procedure, used alternatively on each component, in the scale of weighted Lebesgue spaces Lpδ(Ω)=Lp(Ωδ(x) dx), where δ(x) is the distance to the boundary. Using this method, we significantly improve the known existence results for various classes of elliptic systems.

引用

页码：49 / 81

页数：32

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