In a previous paper we have proved existence of a ground state for a stationary Schr\"odinger--Poisson system in the whole space under appropriate assumptions on the data, namely the dopant-density and the effective potential . 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.
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