Ground state periodic solutions for difference equations with discrete p-Laplacian

被引：13
|
作者：
Jebelean, Petru [1 ]
Serban, Calin [1 ]
机构：
[1] W Univ Timisoara, Dept Math, Timisoara 300223, Romania
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 23期
关键词：
Discrete p-Laplacian operator; Critical point; Palais-Smale condition; Lower and upper solutions; MULTIPLE POSITIVE SOLUTIONS; BOUNDARY-VALUE-PROBLEMS; VARIATIONAL-METHODS; PHI-LAPLACIAN; SYSTEMS;
D O I：
10.1016/j.amc.2011.04.076
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use the critical point theory to establish existence results for periodic solutions of some nonlinear boundary value problems involving the discrete p-Laplacian operator. As an application we give an alternative proof to the upper and lower solutions theorem. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：9820 / 9827
页数：8
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