Electron. J. Diff. Eqns., Vol. 2004(2004), No. 26, pp. 1-5.

A note on a 3-dimensional stationary Schrodinger-Poisson system

Khalid Benmlih

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.

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Khalid Benmlih
Department of Economic Sciences
University of Fez
P.O. Box 42A, Fez, Morocco.
email: kbenmlih@hotmail.com

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