| Title | Embedding theorems and existence results for nonlinear Schrödinger–Poisson systems with unbounded and vanishing potentials |
| Publication Type | Journal Article |
| Year of Publication | 2011 |
| Authors | Bonheure, D, Mercuri, C |
| Journal | Journal of Differential Equations |
| Volume | 251 |
| Pagination | 1056–1085 |
| 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. |
| URL | https://doi.org/10.1016/j.jde.2011.04.010 |
| DOI | 10.1016/j.jde.2011.04.010 |
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