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 Schrodinger-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. (c) 2023 Elsevier Ltd. All rights reserved.
The 2-dimensional nonlinear Schrödinger–Maxwell system
Azzollini A.;
2023-01-01
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 Schrodinger-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. (c) 2023 Elsevier Ltd. All rights reserved.File in questo prodotto:
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