2002-Fez conference on Partial Differental Equations,
Electron. J. Diff. Eqns., Conf. 09, 2002, pp. 65-76.

Stationary solutions for a Schrodinger-Poisson system in $\mathbb{R}^3$

Khalid Benmlih

Under appropriate, almost optimal, assumptions on the data we prove existence of standing wave solutions for a nonlinear Schrodinger equation in the entire space $\mathbb{R}^3$ when the real electric potential satisfies a linear Poisson equation.

Published December 28, 2002.
Subject classfications: 35J50, 35Q40.
Key words: Poisson equation, standing wave solutions, variational methods.

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

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