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  • Research Article
  • Open Access

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

Journal of Inequalities and Applications20102010:850602

https://doi.org/10.1155/2010/850602

  • Received: 16 October 2009
  • Accepted: 7 February 2010
  • Published:

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.

Keywords

  • Boundary Condition
  • Wave Equation
  • Variational Method
  • Dirichlet Boundary
  • Nonlinear Term

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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

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