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Concentration on circles for nonlinear Schrödinger–Poisson systems with unbounded potentials vanishing at infinity

TitleConcentration on circles for nonlinear Schrödinger–Poisson systems with unbounded potentials vanishing at infinity
Publication TypeJournal Article
Year of Publication2012
AuthorsBonheure, D, Di Cosmo, J, Mercuri, C
JournalCommunications in Contemporary Mathematics
Volume14
Pagination1250009
Abstract

The present paper is devoted to weighted nonlinear Schrödinger–Poisson systems with potentials possibly unbounded and vanishing at infinity. Using a purely variational approach, we prove the existence of solutions concentrating on a circle.

URLhttps://doi.org/10.1142/S0219199712500095
DOI10.1142/S0219199712500095

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