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arXiv · 2111.00055

The 2-dimensional nonlinear Schrodinger-Maxwell system

Antonio Azzollini·Marcos Tadeu de Oliveira Pimenta
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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 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.

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Antonio Azzollini, Marcos Tadeu de Oliveira Pimenta. 2021-10-29. The 2-dimensional nonlinear Schrodinger-Maxwell system. https://arxiv.org/abs/2111.00055

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