Semiclassical limit for Schr\"odinger equations with magnetic field and Hartree-type nonlinearities
Analysis of PDEs
2009-11-13 v5
Abstract
The semi-classical regime of standing wave solutions of a Schr\"odinger equation in presence of non-constant electric and magnetic potentials is studied in the case of non-local nonlinearities of Hartree type. It is show that there exists a family of solutions having multiple concentration regions which are located around the minimum points of the electric potential.
Keywords
Cite
@article{arxiv.0903.5435,
title = {Semiclassical limit for Schr\"odinger equations with magnetic field and Hartree-type nonlinearities},
author = {Silvia Cingolani and Simone Secchi and Marco Squassina},
journal= {arXiv preprint arXiv:0903.5435},
year = {2009}
}
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34 pages