Abstract
Some results on the existence of periodic solutions of Hamiltonian systems, having prescribed minimal period, are presented. They are found as critical points of Mountain Pass type of a suitable functional and some estimates on the energy behaviour are shown. The main techniques used are the dual action principle and the Morse index theory.
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© 1987 D. Reidel Publishing Company
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Girardi, M., Matzeu, M. (1987). Some Results on Periodic Solutions of Mountain Pass Type for Hamiltonian Systems. In: Rabinowitz, P.H., Ambrosetti, A., Ekeland, I., Zehnder, E.J. (eds) Periodic Solutions of Hamiltonian Systems and Related Topics. NATO ASI Series, vol 209. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3933-2_15
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DOI: https://doi.org/10.1007/978-94-009-3933-2_15
Publisher Name: Springer, Dordrecht
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