Infinitely Many Periodic Solutions for Some N-Body Type Problems with Fixed Energies

2012/09/29 by Pengfei Yuan, Yuan, Pengfei, Shiqing Zhang +1
Engineering · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nuclear physics research studies #Quantum chaos and dynamical systems #Spacecraft Dynamics and Control #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.1210.0098

arxiv created 2012/09/29 · openalex publication_date 2012/09/29 · arxiv updated 2012/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we apply the Ljusternik-Schnirelman theory with local Palais-Smale condition to study a class of N-body problems with strong force potentials and fixed energies. Under suitable conditions on the potential V, we prove the existence of infinitely many non-constant and non-collision symmetrical periodic solutions .

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