Critical Point Theory Applied to a Class of the Systems of the Superquadratic Wave Equations
© T. Jung and Q.-H. Choi. 2008
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.
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