Using the calculus of variations in the large,especially computing the category of the symmetric configuration space of symmetric N-body-type problems,we prove the existence of infinitely many symmetric noncollision p...Using the calculus of variations in the large,especially computing the category of the symmetric configuration space of symmetric N-body-type problems,we prove the existence of infinitely many symmetric noncollision periodic solutions about the symmetric and nonau- tonomous N-body-type problems under the assumptions that the symmetric potentials satisfy the strong force condition of Gordon.展开更多
基金The second author is partially supported by NSFC Grant 19141002 and a FEYUT of SEDC of China.
文摘Using the calculus of variations in the large,especially computing the category of the symmetric configuration space of symmetric N-body-type problems,we prove the existence of infinitely many symmetric noncollision periodic solutions about the symmetric and nonau- tonomous N-body-type problems under the assumptions that the symmetric potentials satisfy the strong force condition of Gordon.
