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

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. Survey paper. arXiv admin note: text overlap with arXiv:2006.14464

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Journal
Communications in Mathematics
Published
2025-11-05
DOI
https://doi.org/10.46298/cm.15501
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
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article

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

Gaetano Siciliano
Communications in Mathematics
Nonlinear Partial Differential Equations
article

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

Gaetano Siciliano
article en

Abstract

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. Survey paper. arXiv admin note: text overlap with arXiv:2006.14464

Communications in MathematicsVol. Volume 34 (2026), Issue 2...
University of Bari Aldo Moro (IT)
Istituto Nazionale di Alta Matematica "Francesco Severi", Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação de Apoio à Pesquisa do Distrito Federal
Openalex Percentile: Top 55%
Nonlinear Partial Differential Equations
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