Note on a Schrodinger-Poisson system in a bounded domain

This work is concerned with a nonlinear system of Schrodinger-Poisson equations ill a bounded domain with Dirichlet boundary conditions. We prove the existence of infinitely many Solutions u (x)e(-i omega t), for every value of omega, in equilibrium with the electrostatic field 4)(x). (C) 2007 Elsevier Ltd. All rights reserved.