发表机构
Jilin University; University of Tuscia（吉林大学; 图斯卡大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文用变分法研究电磁场中Schrödinger-Poisson系统，通过全局紧性结果建立高能束缚态和基态解的存在性，并在对称条件下获得有限和无限对称群的交织解的存在性与多重性。
AI 中文摘要
本文研究涉及电磁场的Schrödinger-Poisson系统。我们的方法主要基于变分法。通过发展全局紧性结果，我们在适当假设下建立了高能束缚态和基态解的存在性。此外，在对称性条件下，对于有限和无限对称群，获得了交织解的存在性和多重性。
英文摘要
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.
