An Application of Category Theory to a Class of the Systems of the Superquadratic Wave Equations
© T. Jung and Q.-H. Choi. 2010
Received: 16 October 2009
Accepted: 7 February 2010
Published: 15 March 2010
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.
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