Under appropriate, almost optimal, assumptions on the data we prove existence of standing wave solutions for a nonlinear Schrodinger equation in the entire space 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.
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