Ground states for fractional magnetic operators
Analysis of PDEs
2016-11-10 v2
Abstract
We study a class of minimization problems for a nonlocal operator involving an external magnetic potential. The notions are physically justified and consistent with the case of absence of magnetic fields. Existence of solutions is obtained via concentration compactness.
Keywords
Cite
@article{arxiv.1601.04230,
title = {Ground states for fractional magnetic operators},
author = {Pietro d'Avenia and Marco Squassina},
journal= {arXiv preprint arXiv:1601.04230},
year = {2016}
}
Comments
22 pages, minor corrections and typos fixed