Positive solutions for double singularly perturbed Schroedinger Maxwell systems
Analysis of PDEs
2017-10-11 v1
Abstract
We show that the number of solutions of a double singularly perturbed Schroedinger Maxwell system on a smooth bounded domain A depends on the topological properties of the domain. In particular if A is non contractible we obtain cat(A) + 1 positive solutions. The result is obtained via Lusternik Schnirelmann category theory
Cite
@article{arxiv.1710.03552,
title = {Positive solutions for double singularly perturbed Schroedinger Maxwell systems},
author = {Marco Ghimenti and Anna Maria Micheletti},
journal= {arXiv preprint arXiv:1710.03552},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1501.04547