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

D. Bonheure; J. Di Cosmo; C. Mercuri

doi:10.1142/S0219199712500095

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

D. Bonheure, J. Di Cosmo, C. Mercuri

Research output: Contribution to journal › Article › Academic › peer-review

12 Citations (Scopus)

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.

Original language	English
Article number	1250009
Pages (from-to)	1250009-1/31
Number of pages	31
Journal	Communications in Contemporary Mathematics
Volume	14
Issue number	2
DOIs	https://doi.org/10.1142/S0219199712500095
Publication status	Published - 2012

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title = "Concentration on circles for nonlinear Schr{\"o}dinger-Poisson systems with unbounded potentials vanishing at infinity",

abstract = "The present paper is devoted to weighted nonlinear Schr{\"o}dinger–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.",

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AU - Di Cosmo, J.

AU - Mercuri, C.

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DO - 10.1142/S0219199712500095

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VL - 14

SP - 1250009-1/31

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

IS - 2

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ER -

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

Abstract

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