English

Solitons in Schr\"odinger-Maxwell equations

Analysis of PDEs 2013-05-13 v2

Abstract

In this paper we study the Nonlinear Schr\"odinger-Maxwell equations (NSM). We are interested to analyse the existence of solitons, namely of finite energy solutions which exhibit stability properties. This paper is divided in two parts. In the first, we give an abstract definition of soliton and we develope an abstract existence theory. In the second, we apply this theory to NSM.

Keywords

Cite

@article{arxiv.1303.1415,
  title  = {Solitons in Schr\"odinger-Maxwell equations},
  author = {Vieri Benci and Donato Fortunato},
  journal= {arXiv preprint arXiv:1303.1415},
  year   = {2013}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1212.3236

R2 v1 2026-06-21T23:37:39.950Z