A multiplicity result for a double perturbed Schrödinger-Bopp-Podolsky-Proca system

2023/11/16 by Matteo Talluri, Talluri, Matteo
Mathematics · Physics and Astronomy · #35J40 (primary) #35Q55 (secondary) #53C21 #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2311.09912

openalex publication_date 2023/11/16 · openalex created_date 2023/11/18 · openalex updated_date 2026/07/28

Abstract

In this paper we will prove a multiplicity result for a double perturbed Schrödinger-Bopp- Podolsky-Proca system on a compact 3-dimensional Riemannian manifold without boundary. We will prove, using the Lusternik-Schnirelmann Category, that the number of solutions of the system depends on the topological properties of the manifold.

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