Periodic Solutions for N-Body-Type Problems
Fengying Li , Shiqing Zhang
Chinese Annals of Mathematics, Series B ›› 2020, Vol. 41 ›› Issue (5) : 733 -740.
Periodic Solutions for N-Body-Type Problems
The authors consider non-autonomous N-body-type problems with strong force type potentials at the origin and sub-quadratic growth at infinity. Using Ljusternik-Schnirelmann theory, the authors prove the existence of unbounded sequences of critical values for the Lagrangian action corresponding to non-collision periodic solutions.
Periodic solutions / N-body type problems / Variational methods
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