## Abstract and Applied Analysis

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

Bo Zheng

#### Abstract

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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 567471, 10 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412273159

Digital Object Identifier
doi:10.1155/2014/567471

Mathematical Reviews number (MathSciNet)
MR3170408

Zentralblatt MATH identifier
07022622

#### Citation

Zheng, Bo. Nonconstant Periodic Solutions of Discrete $p$ -Laplacian System via Clark Duality and Computations of the Critical Groups. Abstr. Appl. Anal. 2014 (2014), Article ID 567471, 10 pages. doi:10.1155/2014/567471. https://projecteuclid.org/euclid.aaa/1412273159

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