Periodic solutions with prescribed energy for some keplerian N-body problems
Annales de l'I.H.P. Analyse non linéaire, Tome 11 (1994) no. 6, pp. 613-632.
@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},
     pages = {613--632},
     publisher = {Gauthier-Villars},
     volume = {11},
     number = {6},
     year = {1994},
     mrnumber = {1310624},
     zbl = {0855.70006},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_1994__11_6_613_0/}
}
TY  - JOUR
AU  - Ambrosetti, Antonio
AU  - Tanaka, Kazunaga
AU  - Vitillaro, Enzo
TI  - Periodic solutions with prescribed energy for some keplerian $N$-body problems
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 1994
SP  - 613
EP  - 632
VL  - 11
IS  - 6
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPC_1994__11_6_613_0/
LA  - en
ID  - AIHPC_1994__11_6_613_0
ER  - 
%0 Journal Article
%A Ambrosetti, Antonio
%A Tanaka, Kazunaga
%A Vitillaro, Enzo
%T Periodic solutions with prescribed energy for some keplerian $N$-body problems
%J Annales de l'I.H.P. Analyse non linéaire
%D 1994
%P 613-632
%V 11
%N 6
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPC_1994__11_6_613_0/
%G en
%F 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) no. 6, pp. 613-632. http://www.numdam.org/item/AIHPC_1994__11_6_613_0/

[1] A. Ambrosetti, V. Coti ZELATI, Closed Orbits of Fixed Energy for Singular Hamiltonian Systems, Arch. Rat. Mech. Anal., Vol. 112, 1990, p. 339-362. | MR | Zbl

[2] A. Ambrosetti, V. Coti Zelati, 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 | Zbl

[3] A. Ambrosetti, V. Coti ZELATI, Periodic Solutions of Singular Lagrangian Systems, Birkhäuser, 1993. | MR | Zbl

[4] A. Bahri, P.H. Rabinowitz, Periodic Solutions of Hamiltonian Systems of 3-body Type, Ann. Inst. Henri Poincaré, Analyse non linéaire, Vol. 8, 1991, p. 561-649. | Numdam | MR | Zbl

[5] V. Coti Zelati, Periodic Solutions for N-body Type Problems, Ann. Inst. Henri Poincaré, Analyse non linéaire, Vol. 7, 1990, p. 477-492. | Numdam | MR | Zbl

[6] P. Majer, Variational Methods on Manifolds with Boundary, Topology, to appear. | MR | Zbl

[7] P. Majer, S. Terracini, Periodic Solutions to Some Problems of N-body Type, Arch Rat. Mech. Anal., to appear. | MR | Zbl

[8] P. Majer, S. Terracini, Periodic Solutions to Some N-body Type Problems: the Fixed Energy Case, Duke Math. J., Vol. 69, 1993, p. 683-697. | MR | Zbl

[9] H. Riahi, Periodic Orbits of N-body Type Problems, Ph. D. Thesis, Rutgers University, 1993.

[10] K. Tanaka, A prescribed Energy Problem for a Singular Hamiltonian System with a weak Force, J. Funct. Anal., Vol. 113, 1993, p. 351-390. | MR | Zbl