A multiplicity result for a special class of gradient-type systems with non-differentiable term

被引：5

作者：

Breckner, Brigitte E. ^{[1
]}

Horvath, Alexandru ^{[2
]}

Varga, Csaba ^{[1
]}

机构：

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

[2] Petru Maior Univ, Fac Math & Comp Sci, Targu Mures 540088, Romania

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 02期

关键词：

Locally Lipschitz function; Generalized directional derivative; Systems of hemivariational inequalities; Principle of symmetric criticality; Sobolev spaces; EXISTENCE; EQUATIONS;

D O I：

10.1016/j.na.2007.12.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of multiple solutions of certain systems of hemivariational inequalities, using a recent minimax result of B. Ricceri. We apply both our main theorem and the principle of symmetric criticality to obtain multiple solutions of systems of hemivariational inequalities defined on certain Sobolev spaces. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：606 / 620

页数：15

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