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arXiv · 2609.30110

Bound states of Schrödinger-Poisson system in electromagnetic fields

Pingkang Guan·Baihong Li·Dimitri Mugnai·Yuanhong Wei
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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.

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Pingkang Guan, Baihong Li, Dimitri Mugnai, Yuanhong Wei. 2026-09-24. Bound states of Schrödinger-Poisson system in electromagnetic fields. https://arxiv.org/abs/2609.30110

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