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| Periodic Solutions for N-Body-Type Problems |
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Citation： |
Fengying LI,Shiqing ZHANG.Periodic Solutions for N-Body-Type Problems[J].Chinese Annals of Mathematics B,2020,41(5):733~740 |
| Page view： 447
Net amount： 370 |
Authors： |
Fengying LI; Shiqing ZHANG |
Foundation： |
This work was supported by the National Natural Science Foundation of China (Nos. 11701463,11671278). |
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| Abstract： |
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. |
Keywords： |
Periodic solutions, N-body type problems, Variational methods |
Classification： |
34C15, 34C25, 58F, 70F07 |
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