On the Schr\"odinger-Born-Infeld system
Analysis of PDEs
2017-10-10 v1
Abstract
In this paper we study a system which we propose as a model to describe the interaction between matter and electromagnetic field from a dualistic point of view. This system arises from a suitable coupling of the Schr\"odinger and the Born-Infeld lagrangians, this latter replacing the role that, classically, is played by the Maxwell lagrangian. We use a variational approach to find an electrostatic radial ground state solution by means of suitable estimates on the functional of the action.
Cite
@article{arxiv.1710.03151,
title = {On the Schr\"odinger-Born-Infeld system},
author = {Antonio Azzollini and Alessio Pomponio and Gaetano Siciliano},
journal= {arXiv preprint arXiv:1710.03151},
year = {2017}
}
Comments
13 pages