@article{AIHPC_1991__8_6_561_0, author = {Bahri, A. and Rabinowitz, P. H.}, title = {Periodic solutions of hamiltonian systems of 3-body type}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {561--649}, publisher = {Gauthier-Villars}, volume = {8}, number = {6}, year = {1991}, mrnumber = {1145561}, zbl = {0745.34034}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1991__8_6_561_0/} }
TY - JOUR AU - Bahri, A. AU - Rabinowitz, P. H. TI - Periodic solutions of hamiltonian systems of 3-body type JO - Annales de l'I.H.P. Analyse non linéaire PY - 1991 SP - 561 EP - 649 VL - 8 IS - 6 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_1991__8_6_561_0/ LA - en ID - AIHPC_1991__8_6_561_0 ER -
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) no. 6, pp. 561-649. http://www.numdam.org/item/AIHPC_1991__8_6_561_0/
[1] Les méthodes nouvelles de la mécanique céleste, Libr. Albert Blanchard, Paris, 1987.
,[2] A Minimax Method for a Class of Hamiltonian Systems with Singular Potentials, J. Functional Anal., Vol. 82, 1989, pp. 412-428. | MR | Zbl
and ,[3] Critical Points with Lack of Compactness and Applications to Singular Hamiltonian Systems (to appear). | MR
and ,[4] 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 | Zbl
, and ,[5] Conservative Dynamical Systems Involving Strong Forces, Trans. Am. Math. Soc., Vol. 204, 1975, pp. 113-135. | MR | Zbl
,[6] Periodic Solutions of a Class of Singular Hamiltonian Systems, Nonlinear Analysis: TMA, Vol. 12, 1988, pp. 259-270. | MR | Zbl
,[7] Metodi perturbativi nella teoria di Morse, Boll. Un. Mat. Ital., Vol. 11, 1975, pp. 1-32. | MR | Zbl
and ,[8] Thèse de Doctorat d'État, Univ. P. and M. Curie, Paris, 1981.
,[9] Forced vibrations of superquadratic Hamiltonian systems, Acta Math, Vol. 152, 1984, pp. 143-197. | MR | Zbl
and ,[10] Shape Theory, | Zbl
,[11] The Homology Theory of the Closed Geodesic Problem, J. Diff. Geom., Vol. 11, 1976, pp. 633-644. | MR | Zbl
and , , Lectures on Algebraic Topology, Springer-Verlag, Heidelberg, 1972. |[13] Periodic Solutions for Some Forced Singular Hamiltonian Systems, (to appear), Festschift in honor of Jürgen Moser. | MR | Zbl
,[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 | Zbl
,[15]
, (to appear).[16] Differential Topology, Springer-Verlag, 1976. | MR | Zbl
,[17] Algebraic Topology, McGraw-Hill, 1966. | MR | Zbl
, , Lectures on Closed Goedesics, Springer-Verlag, 1978. |[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 | Zbl
,[20] (to appear).
and ,