@article{ASNSP_1988_4_15_3_357_0, author = {Tarantello, Gabriella}, title = {Subharmonic solutions for hamiltonian systems via a $\mathbb {Z}_p$ pseudoindex theory}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {357--409}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 15}, number = {3}, year = {1988}, mrnumber = {1015800}, zbl = {0755.34035}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1988_4_15_3_357_0/} }
TY - JOUR AU - Tarantello, Gabriella TI - Subharmonic solutions for hamiltonian systems via a $\mathbb {Z}_p$ pseudoindex theory JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1988 SP - 357 EP - 409 VL - 15 IS - 3 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1988_4_15_3_357_0/ LA - en ID - ASNSP_1988_4_15_3_357_0 ER -
%0 Journal Article %A Tarantello, Gabriella %T Subharmonic solutions for hamiltonian systems via a $\mathbb {Z}_p$ pseudoindex theory %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1988 %P 357-409 %V 15 %N 3 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1988_4_15_3_357_0/ %G en %F ASNSP_1988_4_15_3_357_0
Tarantello, Gabriella. Subharmonic solutions for hamiltonian systems via a $\mathbb {Z}_p$ pseudoindex theory. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 15 (1988) no. 3, pp. 357-409. http://archive.numdam.org/item/ASNSP_1988_4_15_3_357_0/
[1] A geometrical index for the group S1 and some applications to the study of periodic solutions of ordinary differential equations, Comm. Pure Appl. Math. 34 (1981), pp. 393-432. | MR | Zbl
:[2] On the critical point theory for indefinite functionals in the presence of symmetries, Trans. Am. Math. Soc. 274 (1982), pp. 533-572. | MR | Zbl
:[3] Subharmonic solutions of prescribed minimal period for nonautonomous differential equations, preprint. | MR
- :[4] Existence of multiple periodic orbits on star-shaped Hamiltonian surfaces, Comm. Pure Appl. Math. 38 (1985), pp. 253-289. | MR | Zbl
- - - :[5] On the periodic motion near a given periodic motion of a dynamical system, Ann. Mat. Pure Appl. 12 (1933), pp. 117-133. | JFM | Zbl
- :[6] Nonlinear oscillations and boundary value problems for Hamiltonian systems, Archive Rat. Mech. Anal. 78 (1982), pp. 315-333. | MR | Zbl
- :[7] Subharmonics for convex nonautonomous Hamiltonian systems, Comm. Pure Appl. Math. 40 (1987), pp. 1-36. | MR | Zbl
- :[8] Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems, Inventions Math. 81 (1985), pp. 155-188. | MR | Zbl
- :[9] Borsuk-Ulam theorem for arbitrary S1 actions and applications, M.R.C. Tech. Summary report 2301 Madison, WI 53706.
- - :[10] Solutions of minimal period for a class of nonconvex Hamiltonian systems and application to the fixed Energy problem, Nonlinear Analysis T.M.A. Vol. 10 n. 34 (1986), pp. 371-382. | MR | Zbl
- :[11] Periodic solutions of convex autonomous Hamiltonian systems with quadratic growth at the origin and superquadratic at infinity, preprint.
- :[12] A Z P Borsuk-Ulam theorem and Index theory with a multiplicity result, preprint.
:[13] Subharmonic solutions with prescribed minimal period for nonautonomous Hamiltonian systems, J. Diff. Eq. in press. | Zbl
- :[14] Proof of a generalized fixed point theorem due to G.D. Birkhoff, Lecture notes in Mathematics, 597 Springer Verlag, New York 1977. | MR
:[15] Comments on nonlinear problems, Conference Proceedings, Catania Sept. 1981. | MR
:[16] On subharmonic solutions of Hamiltonian systems, Comm. Pure Appl. Math. 33 (1980), pp. 609-633. | MR | Zbl
:[17] Variational methods for nonlinear eigenvalue problem, in Eigenvalue of nonlinear problems, ed. G. Prodi, edizioni Cremonese Rome 1974. | MR
:[18] The theory of groups and quantum mechanics, Dover, New York, 1950. | Zbl
:[19] A "Birkhoff-Lewis" type result for a class of Hamiltonian systems, preprint. | MR
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