Abstract
Using the calculus of variations in the large, especially computing the category of the symmetric configuration space of symmetricN-body-type problems, we prove the existence of infinitely many symmetric noncollision periodic solutions about the symmetric and nonautonomousN-body-type problems under the assumptions that the symmetric potentials satisfy the strong force condition of Gordon.
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The second author is partially supported by NSFC Grant 19141002 and a FEYUT of SEDC of China.
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Shiqing, Z., Qing, Z. Symmetric periodic noncollision solutions forN-body-type problems. Acta Mathematica Sinica 11, 37–43 (1995). https://doi.org/10.1007/BF02274045
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DOI: https://doi.org/10.1007/BF02274045