Published Paper
Inserted: 6 mar 2024
Last Updated: 6 mar 2024
Journal: Communications in Contemporary Mathematics
Year: 2021
Abstract:
In this paper we study a Schr\"odinger-Bopp-Podolsky system of partial differential equations in a bounded and smooth domain of $\mathbb R^3$ with a non constant coupling factor. Under a compatibility condition on the boundary data we deduce existence and multiplicity of solutions by means of the Ljusternik-Schnirelmann theory.