Periodic Solutions for $N$-Body-Type Problems
Mathematical Physics
2014-08-14 v1 math.MP
Abstract
We consider non-autonomous -body-type problems with strong force type potentials at the origin and sub-quadratic growth at infinity, and using Ljusternik-Schnirelmann theory, we prove the existence of unbounded sequences of critical values for the Lagrangian action corresponding to non-collision periodic solutions.
Cite
@article{arxiv.1408.3001,
title = {Periodic Solutions for $N$-Body-Type Problems},
author = {Fengying Li and Shiqing Zhang},
journal= {arXiv preprint arXiv:1408.3001},
year = {2014}
}