@article{AIHPC_1992__9_6_597_0, author = {Terracini, Susanna}, title = {Multiplicity of periodic solution with prescribed energy to singular dynamical systems}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {597--641}, publisher = {Gauthier-Villars}, volume = {9}, number = {6}, year = {1992}, mrnumber = {1198306}, zbl = {0771.34035}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1992__9_6_597_0/} }
TY - JOUR AU - Terracini, Susanna TI - Multiplicity of periodic solution with prescribed energy to singular dynamical systems JO - Annales de l'I.H.P. Analyse non linéaire PY - 1992 SP - 597 EP - 641 VL - 9 IS - 6 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPC_1992__9_6_597_0/ LA - en ID - AIHPC_1992__9_6_597_0 ER -
%0 Journal Article %A Terracini, Susanna %T Multiplicity of periodic solution with prescribed energy to singular dynamical systems %J Annales de l'I.H.P. Analyse non linéaire %D 1992 %P 597-641 %V 9 %N 6 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPC_1992__9_6_597_0/ %G en %F AIHPC_1992__9_6_597_0
Terracini, Susanna. Multiplicity of periodic solution with prescribed energy to singular dynamical systems. Annales de l'I.H.P. Analyse non linéaire, Volume 9 (1992) no. 6, pp. 597-641. http://archive.numdam.org/item/AIHPC_1992__9_6_597_0/
[1] Critical Points with Lack of Compactness and Applications to Singular Dynamical Systems, Ann. di Matem. Pura e Appl., Ser. IV, Vol. CIL, 1987, pp. 237-259. | MR | Zbl
and ,[2] Noncollision Orbits for a Class of Keplerian-Like Potentials, Ann. I.H.P. Analyse non linéaire, Vol. 5, 1988, pp. 287-295. | Numdam | MR | Zbl
and ,[3] Perturbations of Hamiltonian Systems with Keplerian Potentials, Math. Zeit., Vol. 201, 1989, pp. 227-242. | MR | Zbl
and ,[4] Closed Orbits of Fixed Energy for Singular Hamiltonian Systems, Preprint. | MR
and ,[5] A Minimax Method for a Class of Hamiltonian Systems with Singular Potentials, J. Funct. Anal., Vol. 82, 1989, pp. 412-428. | MR | Zbl
and ,[6] Abstract Critical Points Theory and Application to Some Nonlinear Problems with "Strong" Resonance at Infinity, Nonlin. anal. T.M.A., Vol. 7, 1983, pp.981-1012. | MR | Zbl
, and ,[7] A Geometrical Index for a Group S1 and Some Applications to the Study of Periodic Solutions of O.D.E., Comm. Pure Appl. Math., Vol. 34, 1981, pp. 393-432. | MR | Zbl
,[8] On the Critical Point Theory for Indefinite Functionals in Presence of Symmetries, Trans. Am. Math. Soc., Vol. 274, 1982, pp. 533-572. | MR | Zbl
,[9] Periodic Solutions of Prescribed Energy for a Class of Hamiltonian Systems with Singular Potentials, J. Differential equations, Vol. 82, 1989, pp. 60-70. | MR | Zbl
and ,[10] On a Class of Dynamical Systems with Singular Potentials, Preprint S.I.S.S.A., Nonlin. Anal. T.M.A. (to appear). | MR | Zbl
, and ,[11] Dynamical Systems with Effective-Like Potentials, Nonlin. Anal. T.M.A., Vol. 12, 1988, pp. 209-222. | MR | Zbl
,[12] Periodic Solutions for a Class of Planar, Singular Dynamical Systems, J. Math. Pures et Appl., T. 68, 1989, pp. 109-119. | MR | Zbl
,[13] Dynamical Systems with Newtonian Type Potentials, Ann. Scuola Norm. Sup Pisa, Cl. Sci., Vol. 4, 1989 (to appear). | EuDML | Numdam | MR | Zbl
and ,[14] Periodic Solutions of Dynamical Systems with Newtonian Type Potentials, Atti Accad. Naz. Lincei, Rend. Cl. Sc. Fis. Mat. Nat., Vol. 81, 1987, pp. 271-278. | EuDML | MR | Zbl
, and ,[15] A minimizing Property of Keplerian Orbits, Amer. J. Math., Vol. 99, 1975, pp. 961-971. | MR | Zbl
,[16] Conservative Dynamical Systems Involving Strong Forces, Trans. A.M.S., Vol. 204, 1975, pp. 113-135. | MR | Zbl
,[19] Méthodes topologiques dans les problèmes variaionnels, Hermann, Paris, 1934. | JFM | Zbl
and .,[20] Regularization of Kepler's Problem and the Averaging Method on a Maniold, Comm. Pure Appl. Math., Vol. 23, 1970, pp. 609-636. | MR | Zbl
,[21] An Homotopical Index and Multiplicity of Periodic Solutions to Dynamical Systems with Singular Potentials, J. of Diff. Eq. (to appear). | MR | Zbl
,[22] Second Order Conservative Systems with Singular Potentials: Noncollision Periodic Solutions to the Fixed Energy Problem, Preprint, 1990.
,[23] Ph. D. Thesis, Preprint S.I.S.S.A., Trieste, 1990.
,