Normalized solutions to a Schr\"odinger-Bopp-Podolsky system under Neumann boundary conditions
Danilo Gregorin Afonso, Gaetano Siciliano
TL;DR
This paper investigates the existence and multiplicity of solutions for a Schr"odinger-Bopp-Podolsky system with Neumann boundary conditions in a bounded domain, using variational methods and topological tools.
Contribution
It introduces a new approach to analyze the system with a non-constant coupling factor under Neumann boundary conditions, extending previous results.
Findings
Existence of solutions under certain boundary conditions
Multiple solutions established via topological methods
Application of Ljusternik-Schnirelmann theory to PDE system
Abstract
In this paper we study a Schr\"odinger-Bopp-Podolsky system of partial differential equations in a bounded and smooth domain of 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.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Differential Equations and Boundary Problems · advanced mathematical theories