Abstract and Applied Analysis

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

Bo Zheng

Full-text: Open access

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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