%0 Journal Article %J Journal of Differential Equations %D 2011 %T Embedding theorems and existence results for nonlinear Schrödinger–Poisson systems with unbounded and vanishing potentials %A Bonheure, Denis %A Mercuri, Carlo %X

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.

%B Journal of Differential Equations %I Elsevier %V 251 %P 1056–1085 %G eng %U https://doi.org/10.1016/j.jde.2011.04.010 %R 10.1016/j.jde.2011.04.010