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Embedding theorems and existence results for nonlinear Schrödinger-Poisson systems with unbounded and vanishing potentials

par Bonheure, Denis ;Mercuri, Carlo
Référence Journal of Differential Equations, 251, 4-5, page (1056-1085)
Publication Publié, 2011

Article révisé par les pairs

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Résumé :

Motivated by existence results for positive solutions of non-autonomous nonlinear Schrödinger-Poisson systems with potentials possibly unbounded or vanishing at infinity, we prove embedding theorems for weighted Sobolev spaces. We both consider a general framework and spaces of radially symmetric functions when assuming radial symmetry of the potentials. © 2011 Elsevier Inc.