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

共 50 条

[1] THREE NONTRIVIAL SOLUTIONS FOR PERIODIC PROBLEMS WITH THE p-LAPLACIAN AND A p-SUPERLINEAR NONLINEARITY
Gasinski, Leszek
Papageorgiou, Nikolaos S.
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2009, 8 (04) : 1421 - 1437
[2] On the existence of two nontrivial solutions of periodic problems with operators of p-Laplacian type
Agarwal, R. P.
O'Regan, D.
Papageorgiou, N. S.
DIFFERENTIAL EQUATIONS, 2007, 43 (02) : 157 - 163
[3] On the existence of two nontrivial solutions of periodic problems with operators of p-Laplacian type
R. P. Agarwal
D. O’Regan
N. S. Papageorgiou
Differential Equations, 2007, 43 : 157 - 163
[4] On the Existence of Three Nontrivial Solutions for Periodic Problems Driven by the Scalar p-Laplacian
Papageorgiou, Nikolaos S.
Papalini, Francesca
ADVANCED NONLINEAR STUDIES, 2011, 11 (02) : 455 - 471
[5] Positive Solutions for Nonlinear Periodic Problems with the Scalar p-Laplacian
Denkowski, Zdzislaw
Gasinski, Leszek
Papageorgiou, Nikolaos S.
SET-VALUED ANALYSIS, 2008, 16 (5-6): : 539 - 561
[6] Positive Solutions for Nonlinear Periodic Problems with the Scalar p-Laplacian
Zdzisław Denkowski
Leszek Gasiński
Nikolaos S. Papageorgiou
Set-Valued Analysis, 2008, 16 : 539 - 561
[7] Multiple Nontrivial Solutions for a Class of p-Laplacian Equations
Lei Wei
Mingxin Wang
Jiang Zhu
Acta Applicandae Mathematicae, 2010, 110 : 1153 - 1167
[8] MULTIPLE NONTRIVIAL SOLUTIONS OF NEUMANN p-LAPLACIAN SYSTEMS
Motreanu, Dumitru
Perera, Kanishka
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2009, 34 (01) : 41 - 48
[9] Multiple Nontrivial Solutions for a Class of p-Laplacian Equations
Wei, Lei
Wang, Mingxin
Zhu, Jiang
ACTA APPLICANDAE MATHEMATICAE, 2010, 110 (03) : 1153 - 1167
[10] Multiple solutions for two nonlinear problems involving the p-Laplacian
Faraci, Francesca
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (5-7) : E1017 - E1029

← 1 2 3 4 5 →