Normalized solutions for Schrödinger-Bopp-Podolsky systems in bounded domains

Fuente: arXiv
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Autor principal: Siciliano, Gaetano
Formato: Preprint
Publicado: 2025
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author Siciliano, Gaetano
author_facet Siciliano, Gaetano
contents We consider an elliptic system of Schrödinger-Bopp-Podolsky type in a bounded and smooth domain of R3 with a non constant coupling factor. This kind of system has been introduced in the mathematical literature in [14] and in the last years many contributions appeared. In particular here we present the results in [2] and [34] which show existence of solutions by means of the Ljusternik-Schnirelmann theory under different boundary conditions on the electrostatic potential.
format Preprint
id arxiv_https___arxiv_org_abs_2504_10385
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Normalized solutions for Schrödinger-Bopp-Podolsky systems in bounded domains
Siciliano, Gaetano
Analysis of PDEs
We consider an elliptic system of Schrödinger-Bopp-Podolsky type in a bounded and smooth domain of R3 with a non constant coupling factor. This kind of system has been introduced in the mathematical literature in [14] and in the last years many contributions appeared. In particular here we present the results in [2] and [34] which show existence of solutions by means of the Ljusternik-Schnirelmann theory under different boundary conditions on the electrostatic potential.
title Normalized solutions for Schrödinger-Bopp-Podolsky systems in bounded domains
topic Analysis of PDEs
url https://arxiv.org/abs/2504.10385