Bound states of two-dimensional Schr\"{o}dinger-Newton equations
Mathematical Physics
2008-07-28 v1 math.MP
Abstract
We prove an existence and uniqueness result for ground states and for purely angular excitations of two-dimensional Schr\"{o}dinger-Newton equations. From the minimization problem for ground states we obtain a sharp version of a logarithmic Hardy-Littlewood-Sobolev type inequality.
Keywords
Cite
@article{arxiv.0807.4059,
title = {Bound states of two-dimensional Schr\"{o}dinger-Newton equations},
author = {Joachim Stubbe},
journal= {arXiv preprint arXiv:0807.4059},
year = {2008}
}