Positive solutions for nonlinear hemivariational inequalities

被引：8

作者：

Hu, SC

Papageorgiou, NS

机构：

[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

[2] SW Missouri State Univ, Dept Math, Springfield, MO 65804 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 310卷 / 01期

关键词：

p-Laplacian; p-Laplacian-type; nonsmooth critical point theory; locally Lipschitz functions; generalized subdifferentials; nonsmooth C-condition;

D O I：

10.1016/j.jmaa.2005.01.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the existence of positive solutions for nonlinear problems driven by the p-Laplacian or more generally, by multivalued p-Laplacian-like operators. Both problems have a nonsmooth locally Lipschitz potential (hemivariational inequalities). Using variational methods based on the nonsmooth critical point theory, we prove two existence results with the p-Laplacian and multivalued p-Laplacian-like operators. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：161 / 176

页数：16

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