TY - JOUR T1 - Embedding theorems and existence results for nonlinear Schrödinger–Poisson systems with unbounded and vanishing potentials JF - Journal of Differential Equations Y1 - 2011 A1 - Bonheure, Denis A1 - Mercuri, Carlo AB -

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.

PB - Elsevier VL - 251 UR - https://doi.org/10.1016/j.jde.2011.04.010 ER -