Periodic solutions of Hamiltonian systems of 3-body type
A. Bahri
École Nationale d’Ingénieurs de Tunis Campus Universitaire Le Belvédère, Tunis, Tunisie; Mathematics Department. Rutgers University, New Brunswick, NJ 08903, U.S.A.P.H. Rabinowitz
Mathematics Department and Center for the Mathematical Sciences, University of Wisconsin, Madison, WI 53706, U.S.A.
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Abstract
We study the question of the existence of periodic solutions of Hamiltonian systems of the form:
with T-periodic in and singular at . Under hypotheses on of 3-body type, we prove that the functional corresponding to (✶) has an unbounded sequence of critical points provided that the singularity of at 0 is strong enough.
Cite this article
A. Bahri, P.H. Rabinowitz, Periodic solutions of Hamiltonian systems of 3-body type. Ann. Inst. H. Poincaré Anal. Non Linéaire 8 (1991), no. 6, pp. 561–649
DOI 10.1016/S0294-1449(16)30252-9