Infinitely Many Periodic Solutions for Some N-Body Type Problems with Fixed Energies
Mathematical Physics
2012-10-02 v1 Analysis of PDEs
math.MP
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 , we prove the existence of infinitely many non-constant and non-collision symmetrical periodic solutions .
Keywords
Cite
@article{arxiv.1210.0098,
title = {Infinitely Many Periodic Solutions for Some N-Body Type Problems with Fixed Energies},
author = {Pengfei Yuan and Shiqing Zhang},
journal= {arXiv preprint arXiv:1210.0098},
year = {2012}
}