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

作者：Bonheure Denis; Mercuri Carlo^*

来源：Journal of Differential Equations, 2011, 251(4-5): 1056-1085.

DOI：10.1016/j.jde.2011.04.010

• Stationary nonlinear Schrodinger-Poisson system
• Weighted Sobolev spaces
• Degenerate potentials

Motivated by existence results for positive solutions of non-autonomous nonlinear Schrodinger-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.

• 出版日期2011-8-15