@article{AIHPC_1994__11_6_613_0, author = {Ambrosetti, Antonio and Tanaka, Kazunaga and Vitillaro, Enzo}, title = {Periodic solutions with prescribed energy for some keplerian $N$-body problems}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {11}, year = {1994}, pages = {613-632}, mrnumber = {1310624}, zbl = {0855.70006}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1994__11_6_613_0} }
Ambrosetti, Antonio; Tanaka, Kazunaga; Vitillaro, Enzo. Periodic solutions with prescribed energy for some keplerian $N$-body problems. Annales de l'I.H.P. Analyse non linéaire, Tome 11 (1994) pp. 613-632. http://gdmltest.u-ga.fr/item/AIHPC_1994__11_6_613_0/
[1] ZELATI, Closed Orbits of Fixed Energy for Singular Hamiltonian Systems, Arch. Rat. Mech. Anal., Vol. 112, 1990, p. 339-362. | MR 1077264 | Zbl 0737.70008
,[2] Closed Orbits of Fixed Energy for a Class of N-body Problems, Ann. Inst. Henri Poincaré, Analyse non linéaire, Vol. 9, 1992, p. 187-220; and Addendum, Ann. Inst. Henri Poincaré, Analyse non linéaire, Vol. 9, 1992, p. 337-338. | Numdam | MR 1160848 | Zbl 0757.70007
, ,[3] ZELATI, Periodic Solutions of Singular Lagrangian Systems, Birkhäuser, 1993. | MR 1267225 | Zbl 0785.34032
,[4] Periodic Solutions of Hamiltonian Systems of 3-body Type, Ann. Inst. Henri Poincaré, Analyse non linéaire, Vol. 8, 1991, p. 561-649. | Numdam | MR 1145561 | Zbl 0745.34034
, ,[5] Periodic Solutions for N-body Type Problems, Ann. Inst. Henri Poincaré, Analyse non linéaire, Vol. 7, 1990, p. 477-492. | Numdam | MR 1138534 | Zbl 0723.70010
,[6] Variational Methods on Manifolds with Boundary, Topology, to appear. | MR 1308486 | Zbl 0819.58003
,[7] Periodic Solutions to Some Problems of N-body Type, Arch Rat. Mech. Anal., to appear. | MR 1240581 | Zbl 0782.70010
, ,[8] Periodic Solutions to Some N-body Type Problems: the Fixed Energy Case, Duke Math. J., Vol. 69, 1993, p. 683-697. | MR 1208817 | Zbl 0807.70009
, ,[9] Periodic Orbits of N-body Type Problems, Ph. D. Thesis, Rutgers University, 1993.
,[10] A prescribed Energy Problem for a Singular Hamiltonian System with a weak Force, J. Funct. Anal., Vol. 113, 1993, p. 351-390. | MR 1218100 | Zbl 0771.70014
,