CONCENTRATION ON CIRCLES FOR NONLINEAR SCHRÖDINGER–POISSON SYSTEMS WITH UNBOUNDED POTENTIALS VANISHING AT INFINITY-Reference-Cited by-同舟云学术

CONCENTRATION ON CIRCLES FOR NONLINEAR SCHRÖDINGER–POISSON SYSTEMS WITH UNBOUNDED POTENTIALS VANISHING AT INFINITY

Published:2012-04 Issue:02 Volume:14 Page:1250009
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

BONHEURE DENIS¹,DI COSMO JONATHAN¹²,MERCURI CARLO³

Affiliation:

1. Département de Mathématique, Université Libre de Bruxelles, CP 214, Boulevard du Triomphe, B-1050 Bruxelles, Belgium

2. Département de Mathématique, Université Catholique de Louvain, Chemin du Cyclotron 2, 1348 Louvain-la-Neuve, Belgium

3. S.I.S.S.A./I.S.A.S., Via Bonomea 265, 34136 Trieste, Italy

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199712500095

Reference24 articles.

1. On Schrödinger-Poisson Systems

2. Singularly Perturbed Elliptic Equations with Symmetry: Existence of Solutions Concentrating on Spheres, Part I

3. Dual variational methods in critical point theory and applications

4. Concentration around a sphere for a singularly perturbed Schrödinger equation

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