Periodic solutions with prescribed energy for some Keplerian \(N\)-body problems

DOI10.1016/S0294-1449(16)30170-6zbMath0855.70006MaRDI QIDQ1904222

Enzo Vitillaro, Kazunaga Tanaka, Antonio Ambrosetti

Publication date: 18 December 1995

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1994__11_6_613_0

zbMATH Keywords

existenceboundary conditions

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) (n)-body problems (70F10)

Related Items

Multiple closed orbits of fixed energy for \(N\)-body-type problems with gravitational potentials, Non-simultaneous collision periodic solutions for \(N\)-body problems, Geometric characterization for variational minimization solutions of the 3-body problem with fixed energy, Study of the periodic solutions of some \(n\)-body-type problems

Cites Work

• Periodic solutions for N-body type problems
• Closed orbits of fixed energy for singular Hamiltonian systems
• Periodic solutions of Hamiltonian systems of 3-body type
• Addendum to: Closed orbits of fixed energy for a class of N-body problems
• Periodic solutions to some \(N\)-body type problems: The fixed energy case
• Periodic solutions of singular Lagrangian systems
• Periodic solutions to some problems of \(n\)-body type
• Two variational methods on manifolds with boundary
• A prescribed energy problem for a singular Hamiltonian system with a weak force