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.
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We sincerely thank Professor Florin Diacu and Alexander Wires for their assistance for English expressions in the preparation of this paper.
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This work was supported by the National Natural Science Foundation of China (Nos. 11701463, 11671278).
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Li, F., Zhang, S. Periodic Solutions for N-Body-Type Problems. Chin. Ann. Math. Ser. B 41, 733–740 (2020). https://doi.org/10.1007/s11401-020-0230-9
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DOI: https://doi.org/10.1007/s11401-020-0230-9