A proof of the Lewy-Stampacchia's inequality by a penalization method

被引：10
|
作者：
Mokrane, A
Murat, F
机构：
[1] Ecole Normale Super, Dept Math, Algiers 16050, Algeria
[2] Univ Paris 06, Anal Numer Lab, F-75252 Paris 05, France
来源：
POTENTIAL ANALYSIS | 1998年 / 9卷 / 02期
关键词：
variational inequalities; penalization; Lewy-Stampacchia's inequality;
D O I：
10.1023/A:1008649609888
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we prove the Lewy-Stampacchia's inequality for elliptic variational inequalities with obstacle involving fairly general Leray-Lions operators. The main novelty of the paper is the method of proof, which uses the natural penalization. One of the steps of the proof consists in proving, again thanks to the natural penalization, that the nonnegative cone of W-0(1,p) (Omega) is dense in the nonnegative cone of W--1,W-p' (Omega).
引用
收藏
页码：105 / 142
页数：38
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