Abstract
We consider nonlinear Schrödinger equation with nonlocal nonlinearity which is described by a growing interaction potential. This model contains low-dimensional Schrödinger–Poisson system. We briefly survey recent progress on this subject and then show existence of ground state in a specific model.
Information
Published: 1 January 2015
First available in Project Euclid: 30 October 2018
zbMATH: 1335.35238
MathSciNet: MR3381212
Digital Object Identifier: 10.2969/aspm/06410273
Subjects:
Primary:
35Q55
Keywords:
ground state
,
Hartree equation
,
nonlinear Schrödinger equation
,
Schrödinger–Poisson system
Rights: Copyright © 2015 Mathematical Society of Japan
