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. © 2011 Elsevier Inc.
Embedding theorems and existence results for nonlinear Schrödinger-Poisson systems with unbounded and vanishing potentials / Bonheure, D.; Mercuri, C.. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 251:4-5(2011), pp. 1056-1085. [10.1016/j.jde.2011.04.010]
Embedding theorems and existence results for nonlinear Schrödinger-Poisson systems with unbounded and vanishing potentials
Mercuri C.
2011
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. © 2011 Elsevier Inc.
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