Khalid Benmlih
Abstract:
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. email: kbenmlih@hotmail.com |
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