On Concentration of Positive Bound States for the Schrödinger-Poisson Problem with Potentials

Isabella Ianni; Giusi Vaira

doi:10.1515/ans-2008-0305

Publicly Available Published by De Gruyter March 10, 2016

On Concentration of Positive Bound States for the Schrödinger-Poisson Problem with Potentials

Isabella Ianni and Giusi Vaira

From the journal Advanced Nonlinear Studies

https://doi.org/10.1515/ans-2008-0305

Abstract

We study the existence of semiclassical states for a nonlinear Schrödinger-Poisson system that concentrate near critical points of the external potential and of the density charge function. We use a perturbation scheme in a variational setting, extending the results in [1]. We also discuss necessary conditions for concentration.

Keywords: Semiclassical states; Schrödinger equation; variational methods; perturbation techniques

Published Online: 2016-03-10

Published in Print: 2008-08-01

On Concentration of Positive Bound States for the Schrödinger-Poisson Problem with Potentials

Abstract

Journal and Issue

Articles in the same Issue