Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities

被引：38
|
作者：
Iannizzotto, Antonio [1 ]
Papageorgiou, Nikolaos S. [2 ]
机构：
[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy
[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 09期
关键词：
p-Laplacian; Minimax methods; Truncations; Solutions of constant sign; Second deformation theorem; Locally Lipschitz potentials; Generalized subdifferentials; Local minimizers; LINEAR ELLIPTIC-EQUATIONS; P-LAPLACIAN; LOCAL MINIMIZERS; CRITICAL-POINTS; MULTIPLICITY; PRINCIPLE; THEOREM;
D O I：
10.1016/j.na.2008.04.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a nonlinear Neumann problem driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality). Using minimax methods based on the nonsmooth critical point theory together with suitable truncation techniques, we show that the problem has at least three nontrivial smooth solutions. Two of these solutions have constant sign (one is positive, the other negative). (C) 2008 Elsevier Ltd. All rights reserved.
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页码：3285 / 3297
页数：13
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