The 2-dimensional nonlinear Schrodinger-Maxwell system
Analysis of PDEs
2021-11-02 v1
Abstract
In this paper we carry on the study of a system recently introduced by the first author as the planar version of the well known electrostatic Schr\"odinger - Maxwell equations. In the positive potential case, we exhibit situations where the existence of solutions depends on the strength of the coupling, being this one modulated by a parameter. We also present some results in the case of a sign-changing potential.
Keywords
Cite
@article{arxiv.2111.00055,
title = {The 2-dimensional nonlinear Schrodinger-Maxwell system},
author = {Antonio Azzollini and Marcos Tadeu de Oliveira Pimenta},
journal= {arXiv preprint arXiv:2111.00055},
year = {2021}
}
Comments
19 pages