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

Boundary Value Problems20092008:742030

Received: 22 July 2008

Accepted: 25 December 2008

Published: 5 January 2009


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.


Boundary ConditionDifferential EquationPartial Differential EquationOrdinary Differential EquationWave Equation

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Authors’ Affiliations

Department of Mathematics, Kunsan National University, Kunsan, South Korea
Department of Mathematics Education, Inha University, Incheon, South Korea


© T. Jung and Q.-H. Choi. 2008

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