Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 46, pp. 1-12.

Title: An application of the dual variational principle
       to a Hamiltonian system with discontinuous nonlinearities 
       
Authors: Claudianor  O. Alves (Univ. Federal de Campina Grande, Brazil)
 Daniel C. de Morais Filho (Univ. Federal de Campina Grande, Brazil)
 Marco Aurelio S. Souto (Univ. Federal de Campina Grande, Brazil)

Abstract: 
 In this article, we study the existence of solutions to the
 Hamiltonian elliptic system with discontinuous nonlinearities
 $$\displaylines{
 -\Delta u=au+bv+f(x,v), \cr
 -\Delta v=cu+av+g(x,u)
 }$$
 on a bounded subset of $\mathbb{R}^n$, with zero Dirichlet boundary
 conditions. The functions $f$ and $g$ have a finite number of
 jumping discontinuities.
  
Submitted January 26, 2004. Published March 31, 2004.
Math Subject Classifications: 35J50, 37K05, 34A34.
Key Words: Hamiltonian systems; discontinuous nonlinearities; 
           dual variational principle.