Multiple nontrivial solutions for nonlinear periodic problems with the p-Laplacian

被引：28

作者：

Aizicovici, Sergiu

Papageorgiou, Nikolaos S. ^{[2
,3
]}

Staicu, Vasile ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

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

[3] Ohio Univ, Dept Math, Athens, OH 45701 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年 / 243卷 / 02期

关键词：

degree theory; scalar p-Laplacian; periodic solutions; local minimizers; solutions of constant sign;

D O I：

10.1016/j.jde.2007.05.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a nonlinear periodic problem driven by the scalar p-Laplacian with a nonsmooth potential (hemivariational inequality). Using the degree theory for multivalued perturbations of (S)+-operators and the spectrum of a class of weighted eigenvalue problems for the scalar p-Laplacian, we prove the existence of at least three distinct nontrivial solutions, two of which have constant sign. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：504 / 535

页数：32

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