Existence and comparison principles for general quasilinear variational-hemivariational inequalities

被引：23

作者：

Carl, S ^{[1
]}

Le, VK

Motreanu, D

机构：

[1] Univ Halle Wittenberg, Fachbereich Math & Informat, Inst Anal, D-06099 Halle Saale, Germany

[2] Univ Missouri, Dept Math & Stat, Rolla, MO 65401 USA

[3] Univ Perpignan, Dept Math, F-66860 Perpignan, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 302卷 / 01期

关键词：

comparison principles; variational-hemivariational inequalities; multivalued pseudomonotone operators;

D O I：

10.1016/j.jmaa.2004.08.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider quasilinear elliptic variational-hemivariational inequalities involving convex, lower semicontinuous and locally Lipschitz functionals. We provide a generalization of the fundamental notion of sub- and supersolutions on the basis of which we then develop the sub-supersolution method for variational-hemivariational inequalities, including existence, comparison, compactness and extremality results. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：65 / 83

页数：19

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