Patricia L. Cunha
Abstract:
In this article we study the existence and concentration behavior
of bound states for a nonlinear Schrodinger-Poisson system with
a parameter
.
Under suitable conditions on the
potential functions, we prove that for
small the
system has a positive solution that concentrates at a point which
is a global minimum of the minimax function associated to the
related autonomous problem.
Submitted July 8, 2015. Published November 30, 2015.
Math Subject Classifications: 35B40, 35J60, 35Q55.
Key Words: Schrodinger-Poisson system; variational methods; concentration.
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Patrícia L. Cunha Departamento de Informática e Métodos Quantitativos Fundação Getulio Vargas São Paulo, Brazil email: patcunha80@gmail.com |
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