Lewy-Stampacchia's inequality for a pseudomonotone parabolic problem

被引：9

作者：

Guibe, Olivier ^{[1
]}

Mokrane, A. ^{[2
]}

Tahraoui, Y. ^{[2
]}

Vallet, G. ^{[3
]}

机构：

[1] UMR 6085 CNRS, Lab Math Raphael Salem, Av Univ,BP 12, F-76801 St Etienne Du Rouvray, France

[2] Ecole Normale Super, Lab Equat Derivees Partielles Non Lineaires & His, BP 92, Vieux Kouba 16050, Alger, Algeria

[3] UMR CNRS 5142, Lab Math & Applicat Pau, BP1155, F-64013 Pau, France

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2020年 / 9卷 / 01期

关键词：

Variational inequalities; penalization; pseudomonotone operator; Lewy-Stampacchia's inequality; VARIATIONAL-INEQUALITIES; EQUATIONS;

D O I：

10.1515/anona-2020-0015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main aim of this paper is to extend to the case of a pseudomonotone operator Lewy-Stampacchia's inequality proposed by F. Donati [7] in the framework of monotone operators. For that, an ad hoc type of perturbation of the operator is proposed.

引用

页码：591 / 612

页数：22

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