Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 26, pp. 1-5.

Title: A note on a 3-dimensional stationary Schrodinger-Poisson system
       
Author: Khalid Benmlih (Univ. of Fez, Morocco)

Abstract: 
  In a previous paper we have proved existence of a ground state for a
  stationary  Schr\"odinger--Poisson system in the whole space 
  $\mathbb{R}^3$ under appropriate assumptions on the data, namely the 
  dopant-density $n^*$ and the effective potential $\widetilde V$. 
  In this note we show that the same result remains true under less 
  restrictive hypotheses.
  
Submitted July 29, 2003. Published February 24, 2004.
Math Subject Classifications: 35J50, 35Q40.
Key Words: Schrodinger equation; Poisson equation; standing wave;
    variational method.