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On concentration of positive bound states for the Schrödinger-Poisson problem with potentials

TitleOn concentration of positive bound states for the Schrödinger-Poisson problem with potentials
Publication TypeJournal Article
Year of Publication2008
AuthorsIanni, I, Vaira, G
JournalAdvanced nonlinear studies
Volume8
Pagination573–595
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.

DOI10.1515/ans-2008-0305.

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