Patricia L. Cunha
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
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