Bound states of two-dimensional Schrödinger-Newton equations

Details Bound states of two-dimensional Schrödinger-Newton equations Bound states of two-dimensional Schrödinger-Newton equations

2008-07-25

arxiv.org/abs/0807.4059v1

Physics

Mathematical Physics

Scientific paper

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.

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