Multiple \mathbbS¹-orbits for the Schrödinger-Newton system

2013/04/29 by Silvia Cingolani, Cingolani, Silvia, Simone Secchi +1
Mathematics · Physics and Astronomy · #35B06 #35J20 #35Q40 #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math.AP #msc:35B06 #msc:35J20 #msc:35Q40 #msc:35Q55

paper · pdf · doi:10.48550/arxiv.1304.7639

Accepted for publication by Differential and Integral Equations

arxiv created 2013/04/29 · openalex publication_date 2013/04/29 · arxiv updated 2013/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove existence and multiplicity of symmetric solutions for the Schrödinger-Newton system in three dimensional space using equivariant Morse theory.

Citations

• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Groundstates of nonlinear Choquard equations: Existence, qualitative properties and decay asymptotics
• On Gravity's role in Quantum State Reduction

Related

• A multiplicity result for a double perturbed Schrödinger-Bopp-Podolsky-Proca system
• Periodic solutions to symmetric Newtonian systems in neighborhoods of orbits of equilibria
• A multiplicity result for double singularly perturbed elliptic systems
• The Schubart orbits on the circle
• Multiple solutions and profile description for a nonlinear Schrödinger-Bopp-Podolsky-Proca system on a manifold