This article is part of the series Selected Papers from the 10th International Conference 2009 on Nonlinear Functional Analysis and Applications.

Open Access Research Article

An Application of Category Theory to a Class of the Systems of the Superquadratic Wave Equations

Tacksun Jung1 and Q-Heung Choi2*

Author Affiliations

1 Department of Mathematics, Kunsan National University, Kunsan 573-701, South Korea

2 Department of Mathematics Education, Inha University, Incheon 402-751, South Korea

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Journal of Inequalities and Applications 2010, 2010:850602 doi:10.1155/2010/850602


The electronic version of this article is the complete one and can be found online at: http://www.journalofinequalitiesandapplications.com/content/2010/1/850602


Received:16 October 2009
Accepted:7 February 2010
Published:15 March 2010

© 2010 The Author(s).

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We investigate the nontrivial solutions for a class of the systems of the superquadratic nonlinear wave equations with Dirichlet boundary condition and periodic condition with a superquadratic nonlinear terms at infinity which have continuous derivatives. We approach the variational method and use the critical point theory on the manifold, in terms of the limit relative category of the sublevel subsets of the corresponding functional.

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