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

par Bonheure, Denis ;Di Cosmo, Jonathan ;Mercuri, Carlo
Référence Communications in Contemporary Mathematics, 14, 2, page (1-31)
Publication Publié, 2012

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Résumé :

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. © 2012 World Scientific Publishing Company.