Work

Bound states of Schrödinger-Poisson system in electromagnetic fields

Year: 2026

Type: preprint

Abstract: This paper investigates the Schrödinger-Poisson system involving electromagnetic fields. Our approach is mainly based on the variational method. By developing the global compactness result, we establish the existence of higher-energy bound state and ground state solutions under suitable assumptions. In addition, under symmetry conditions, the existence and multiplicity of intertwining solutions are obtained for both finite and infinite symmetry group.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.30110

Authors: Guan, Pingkang, Li, Baihong, Mugnai, Dimitri, Wei, Yuanhong

Institutions: Jilin University, Università degli Studi della Tuscia

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", National Natural Science Foundation of China, Education Department of Jilin Province, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

Awards: G8166057597, G8202113248, G8858376107

OpenAlex ID: W7214300105

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