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  • Research Article
  • Open Access

Critical Point Theory Applied to a Class of the Systems of the Superquadratic Wave Equations

Boundary Value Problems20092008:742030

https://doi.org/10.1155/2008/742030

  • Received: 22 July 2008
  • Accepted: 25 December 2008
  • Published:

Abstract

We show the existence of a nontrivial solution for a class of the systems of the superquadratic nonlinear wave equations with Dirichlet boundary conditions and periodic conditions with a superquadratic nonlinear terms at infinity which have continuous derivatives. We approach the variational method and use the critical point theory which is the Linking Theorem for the strongly indefinite corresponding functional.

Keywords

  • Boundary Condition
  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Wave Equation

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Authors’ 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

Copyright

© T. Jung and Q.-H. Choi. 2008

This article is published under license to BioMed Central Ltd. 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.

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