Calculus of Variations and Geometric Measure Theory

D. G. Afonso - G. Siciliano

Normalized solutions to a Schrödinger-Bopp-Podolsky system under Neumann conditions

created by gregorinafonso on 06 May 2024


Published Paper

Inserted: 6 may 2024
Last Updated: 6 may 2024

Journal: Communications in Contemporary Mathematics
Year: 2021

ArXiv: 2006.14464 PDF


In this paper we study a Schrödinger-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.