Solitons in Schrödinger-Maxwell equations

2013/03/06 by Benci, Vieri, Fortunato, Donato
#35A15 #35Q55 #35Q61 #37K40 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1303.1415

Abstract

In this paper we study the Nonlinear Schrödinger-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.

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