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

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

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

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Veröffentlicht in:Journal of mathematical analysis and applications 2024-12, Vol.540 (2), p.128648, Article 128648
1. Verfasser: Talluri, Matteo
Format: Artikel
Sprache:eng
Schlagworte:
Bopp-Podolsky-Proca electromagnetic theory
Calculus of variations
Nonlinear Schrödinger equation
Riemannian manifolds
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Zusammenfassung:In this paper we will establish a multiplicity result for a double perturbed Schrödinger Bopp-Podolsky-Proca system on a compact 3-dimensional Riemannian manifold without boundary. Using the Lusternik-Schnirelmann Category, we will prove that the number of solutions of the system depends on the topological properties of the manifold.
ISSN:0022-247X
DOI:10.1016/j.jmaa.2024.128648