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

2020/06/25 by Danilo Gregorin Afonso, Afonso, Danilo Gregorin, Gaetano Siciliano +1 · 3 citations
Mathematics · #Advanced Mathematical Physics Problems #Differential Equations and Boundary Problems #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2006.14464

Abstract

In this paper we study a Schrödinger-Bopp-Podolsky system of partial differential equations in a bounded and smooth domain of \mathbb R³ 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.

Cited by

• Existence and qualitative properties of ground state solutions for the Schrödinger-Bopp-Podolsky system
• Schrödinger-Bopp-Podolsky system with sublinear and critical nonlinearities: solutions at negative energy levels and asymptotic behaviour
• Existence of solutions with prescribed frequency for the perturbed Schrödinger-Bopp-Podolsky system in bounded domains

Related

• Normalized solutions for Schrödinger-Bopp-Podolsky systems in bounded domains
• Normalized Solutions for Schrödinger-Bopp-Podolsky Systems in Bounded Domains with General Nonlinearities
• Normalized solutions for Schrödinger-Bopp-Podolsky system
• Existence of solutions with prescribed frequency for the perturbed Schrödinger-Bopp-Podolsky system in bounded domains
• Schrödinger-Bopp-Podolsky system with sublinear and critical nonlinearities: solutions at negative energy levels and asymptotic behaviour