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A multiplicity result for a double perturbed Schr\"odinger-Bopp-Podolsky-Proca system

Analysis of PDEs 2023-11-17 v1

Abstract

In this paper we will prove a multiplicity result for a double perturbed Schr\"odinger-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.

Keywords

Cite

@article{arxiv.2311.09912,
  title  = {A multiplicity result for a double perturbed Schr\"odinger-Bopp-Podolsky-Proca system},
  author = {Matteo Talluri},
  journal= {arXiv preprint arXiv:2311.09912},
  year   = {2023}
}

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12 pages