@article{AIHPC_1991__8_6_561_0,
author = {Bahri, Abbes and Rabinowitz, Paul-H.},
title = {Periodic solutions of hamiltonian systems of 3-body type},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
volume = {8},
year = {1991},
pages = {561-649},
mrnumber = {1145561},
zbl = {0745.34034},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPC_1991__8_6_561_0}
}
Bahri, A.; Rabinowitz, P. H. Periodic solutions of hamiltonian systems of 3-body type. Annales de l'I.H.P. Analyse non linéaire, Tome 8 (1991) pp. 561-649. http://gdmltest.u-ga.fr/item/AIHPC_1991__8_6_561_0/
[1] , Les méthodes nouvelles de la mécanique céleste, Libr. Albert Blanchard, Paris, 1987.
[2] and , A Minimax Method for a Class of Hamiltonian Systems with Singular Potentials, J. Functional Anal., Vol. 82, 1989, pp. 412-428. | MR 987301 | Zbl 0681.70018
[3] and , Critical Points with Lack of Compactness and Applications to Singular Hamiltonian Systems (to appear). | MR 1281984
[4] , and , Periodic Solutions of Dynamical Systems with Newtonian Type Potentials, in Periodic Solutions of Hamiltonian Systems and Related Topics, P. H. RABINOWITZ et al., Vol. 29, pp. 111-115, NATO ASI Series, Reidel, Dordrecht, 1987. | MR 920613 | Zbl 0632.34038
[5] , Conservative Dynamical Systems Involving Strong Forces, Trans. Am. Math. Soc., Vol. 204, 1975, pp. 113-135. | MR 377983 | Zbl 0276.58005
[6] , Periodic Solutions of a Class of Singular Hamiltonian Systems, Nonlinear Analysis: TMA, Vol. 12, 1988, pp. 259-270. | MR 928560 | Zbl 0648.34048
[7] and , Metodi perturbativi nella teoria di Morse, Boll. Un. Mat. Ital., Vol. 11, 1975, pp. 1-32. | MR 418150 | Zbl 0311.58006
[8] , Thèse de Doctorat d'État, Univ. P. and M. Curie, Paris, 1981.
[9] and , Forced vibrations of superquadratic Hamiltonian systems, Acta Math, Vol. 152, 1984, pp. 143-197. | MR 741053 | Zbl 0592.70027
[10] , Shape Theory, | Zbl 0317.55006
[11] and , The Homology Theory of the Closed Geodesic Problem, J. Diff. Geom., Vol. 11, 1976, pp. 633-644. | MR 455028 | Zbl 0361.53058
[12] , Lectures on Algebraic Topology, Springer-Verlag, Heidelberg, 1972. | MR 415602 | Zbl 0234.55001
[13] , Periodic Solutions for Some Forced Singular Hamiltonian Systems, (to appear), Festschift in honor of Jürgen Moser. | MR 1039360 | Zbl 0790.70019
[14] , Isolated Invariant Sets and the Morse Index, C.B.M.S. Regional Conference Series in Math, # 38, Am. Math. Soc., Providence R. I., 1978. | MR 511133 | Zbl 0397.34056
[15] , (to appear).
[16] , Differential Topology, Springer-Verlag, 1976. | MR 448362 | Zbl 0356.57001
[17] , Algebraic Topology, McGraw-Hill, 1966. | MR 210112 | Zbl 0145.43303
[18] , Lectures on Closed Goedesics, Springer-Verlag, 1978. | MR 478069 | Zbl 0397.58018
[19] , Une théorie de Morse pour les systèmes Hamiltoniens convexes, Ann. Inst. H. Poincaré: Analyse non linéaire, Vol. 1, 1984, pp. 19-78. | Numdam | MR 738494 | Zbl 0537.58018
[20] and , (to appear).