MENU

You are here

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

TitleEmbedding theorems and existence results for nonlinear Schrödinger–Poisson systems with unbounded and vanishing potentials
Publication TypeJournal Article
Year of Publication2011
AuthorsBonheure, D, Mercuri, C
JournalJournal of Differential Equations
Volume251
Pagination1056–1085
Abstract

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.

URLhttps://doi.org/10.1016/j.jde.2011.04.010
DOI10.1016/j.jde.2011.04.010

Sign in