The 2-dimensional nonlinear Schrodinger-Maxwell system

2021/10/29 by Azzollini, Antonio, Pimenta, Marcos Tadeu de Oliveira
#35J50 #35Q40 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2111.00055

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 Schrödinger - 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.

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