SYSTEMS OF NONLINEAR HEMIVARIATIONAL INEQUALITIES AND APPLICATIONS

被引：0

作者：

Costea, Nicusor ^{[1
,2
]}

Varga, Csaba ^{[3
]}

机构：

[1] Romanian Acad, Inst Math Simion Stoilow, Bucharest 014700, Romania

[2] Cent European Univ, Dept Math & Its Applicat, H-1051 Budapest, Hungary

[3] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2013年 / 41卷 / 01期

关键词：

Nonlinear hemivariational inequality; set-valued operator; nonsmooth functions; Clarke's generalized gradient; Nash generalized derivative point; piezoelectric body; GRADIENT-TYPE SYSTEMS; COMPARISON PRINCIPLE; MULTIPLICITY RESULT; EXISTENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove several existence results for a general class of systems of nonlinear hemivariational inequalities by using a fixed point theorem of Lin (Bull. Austral. Math. Soc. 34, (1986), 107-117). Our analysis includes both the cases of bounded and unbounded closed convex subsets in real reflexive Banach spaces. In the last section we apply the abstract results obtained to extend some results concerning nonlinear hemivariational inequalities, to establish existence results of Nash generalized derivative points and to prove the existence of at least one weak solution for an electroelastic contact problem.

引用

页码：39 / 65

页数：27

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