A singular Schr\"odinger-Maxwell system
Analysis of PDEs
2021-10-12 v1
Abstract
In this paper we are concerned with existence of positive solutions for a Schr\"odinger-Maxwell system with singular or strongly-singular terms. We overcome the difficulty given by the singular terms through an approximation scheme and controlling the approximated sequences of solutions with suitable barriers from above and from below. Besides this, in some particular case, we show that the unique energy solution of the singular system is a saddle point of a suitable functional.
Cite
@article{arxiv.2110.05105,
title = {A singular Schr\"odinger-Maxwell system},
author = {Lucio Boccardo and Stefano Buccheri and Carlos Alberto dos Santos},
journal= {arXiv preprint arXiv:2110.05105},
year = {2021}
}