Low energy solutions for the semiclassical limit of Schroedinger Maxwell systems
Mathematical Physics
2013-03-28 v1 math.MP
Abstract
We show that the number of solutions of Schroedinger Maxwell system on a smooth bounded domain in R^3 depends on the topological properties of the domain. In particular we consider the Lusternik-Schnirelmann category and the Poincar\'e polynomial of the domain.
Keywords
Cite
@article{arxiv.1303.6627,
title = {Low energy solutions for the semiclassical limit of Schroedinger Maxwell systems},
author = {Marco Ghimenti and Anna Maria Micheletti},
journal= {arXiv preprint arXiv:1303.6627},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1303.6498