Normalized solutions to a Schr\"odinger-Bopp-Podolsky system under Neumann boundary conditions

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.