Nonconstant Periodic Solutions of Discrete p-Laplacian System via Clark Duality and Computations of the Critical Groups

We study the existence of periodic solutions to a discrete p-Laplacian system. By using the Clark duality method and computing the critical groups, we find a simple condition that is sufficient to ensure the existence of nonconstant periodic solutions to the system.

Bibliographic Details
Main Author: Bo Zheng
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/567471