The 2-dimensional nonlinear Schrodinger-Maxwell system

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Azzollini, Antonio, Marcos Tadeu de Oliveira Pimenta
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 29.10.2021
Subjects
Maxwell's equations
Schrodinger equation
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Summary: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.
ISSN:2331-8422