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Periodic solutions of elliptic type for strongly nonlinear Hamiltonian systems

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The Floer Memorial Volume

Part of the book series: Progress in Mathematics ((PM,volume 133))

Summary

It is shown that, for autonomous Hamiltonian systems, every convex energy level which is symmetric with respect to the origin carries a periodic solution of elliptic type. An extension is given to nonautonomous systems.

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Bibliography

  1. F. Clarke et I. Ekeland, «Hamiltonian trajectories having prescribed minimal period», Comm. Pure App. Math. 33 (1980), p. 103–116.

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  3. G. Dell’Antonio, B. D’Onofrio, I. Ekeland, «Stability form index estimates for periodic solutions of Lagrangian systems», submitted to Journal of Differential Equations.

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, University of Rome, I-00185, Piazzale Aldo Moro, Roma, Italy

    Gianfausto Dell’Antonio & Biancamaria D’Onofrio

  2. Université Paris-Dauphine, Place du Marechal de, F-75775, Lattre de Tassigny, Paris, France

    Ivar Ekeland

Authors
  1. Gianfausto Dell’Antonio
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  2. Biancamaria D’Onofrio
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  3. Ivar Ekeland
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Editor information

Editors and Affiliations

  1. Dept. of Mathematics, ETH-Zentrum, 8092, Zürich, Switzerland

    Helmut Hofer  & Eduard Zehnder  & 

  2. Dept. of Mathematics, Harvard University, 02138, Cambridge, MA, USA

    Clifford H. Taubes

  3. Dept. of Mathematics, University of California, 94720, Berkeley, CA, USA

    Alan Weinstein

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© 1995 Birkhäuser Verlag

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Dell’Antonio, G., D’Onofrio, B., Ekeland, I. (1995). Periodic solutions of elliptic type for strongly nonlinear Hamiltonian systems. In: Hofer, H., Taubes, C.H., Weinstein, A., Zehnder, E. (eds) The Floer Memorial Volume. Progress in Mathematics, vol 133. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9217-9_14

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  • DOI: https://doi.org/10.1007/978-3-0348-9217-9_14

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9948-2

  • Online ISBN: 978-3-0348-9217-9

  • eBook Packages: Springer Book Archive

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