Critical Point Theory, Superquadratic Wave Equations
HINDAWI PUBLISHING CORPORATION
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. Copyright q 2008 T. Jung and Q.-H. Choi.