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Perturbation of hamiltonian systems with Keplerian potentials

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References

  1. Ambrosetti, A., Coti Zelati, V., Ekeland, I.: Symmetry breaking in Hamiltonian systems. J. Differ. Equations67, 165–184 (1987)

    Google Scholar 

  2. Ambrosetti, A., Coti Zelati, V.: Critical points with lack of compactness and singular dynamical systems. Ann. Mat. Pura Appl. (in print)

  3. Ambrosetti, A., Coti Zelati, V.: Periodic solutions of singular dynamical systems, in Proceedings of the NATO ARW onPeriodic solutions of Hamiltonian systems and related topics, il Ciocco Italy, 13–17 October 1986., Rabinowitz, P.H., Ambrosetti, A., Ekeland, I., Zehnder, E.J. (eds), NATO ASI series, pp. 1–10. Dordrecht; Reidel Publ. C., 1987

    Google Scholar 

  4. Ambrosetti, A., Coti Zelati, V.: Non-collision orbits for a class of Keplerian-like potentials. Ann. Inst. Henri Poincare, Anal. Non Linéaire (to appear)

  5. Bahri, A., Rabinowitz, P.H.: A minimax method for a class of Hamiltonian systems with singular potentials. Preprint University of Wisconsin, Madison, 1987

  6. Capozzi, A., Greco, C., Salvatore, A.: Lagrangian systems in presence of singularities Proc. Am. Math. Soc.101 (1987)

  7. Coti Zelati, V.: Dynamical systems with effective-like potentials. J. Nonlinear Anal. Theory Methods Appl. (To appear)

  8. Coti Zelati, V.: Periodic solutions for a class of planar, singular dynamical systems. Preprint CEREMADE 1987

  9. Coron, J.M.: Periodic solutions of a nonlinear wave equation without assumptions of monotonicity. Math. Ann.252, 273–285 (1983)

    Google Scholar 

  10. Degiovanni, M., Giannoni, F.: Dynamical systems with Newtonian type potentials. Preprint Università degli Studi di Pisa, 1987, no 196

  11. Greco, C.: Periodic solutions of a class of singular Hamiltonian systems. Nonlinear Anal. Theory Methods Appl. (In print)

  12. Klingenberg, W.: Lectures on Closed Geodesics. Berlin Heidelberg New York: Springer 1978

    Google Scholar 

  13. Kovalevsky, J.: Introduction to Celestial Mechanics. Dordrecht: Reidel Co. 1967

    Google Scholar 

  14. Husmoller, D.: Fibre Bundles. New York: McGraw Hill 1966

    Google Scholar 

  15. Hilton, P.J., Wylie, S.: Homology theory. Cambridge: University Press 1962

    Google Scholar 

  16. Moser, J.: Regularization of Kepler's problem and the averaging method on a manifold.Commun. Pure Appl. Math. 23, 609–636 (1970)

    Google Scholar 

  17. Poincaré, H.: Les Méthodes nouvelles de la Mécanique Céleste Tome I. Paris: Librairie Albert Blanchard 1987

    Google Scholar 

  18. Saslaw, W.C.: Gravitational physics and stellar and galactic systems. Cambridge, Monograph on Math. Phys., 1985

  19. Schwartz, J.: Nonlinear functional Analysis, with an additional chapter by H. Karcher. New York-London-Paris: Gordon and Breach, 1969

    Google Scholar 

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Author notes

  1. Vittorio Coti Zelati

    Present address: SISSA, strada Costiera 11, 34014, Trieste, Italy

Authors and Affiliations

  1. Scuola Normale Superiore, Piazza dei Cavalieri, I-56100, Pisa, Italy

    Antonio Ambrosetti

  2. CEREMADE, Université de Paris Dauphine, Place du M. de Lattre de, Tassigny, F-75575, Paris Cedex 16, France

    Vittorio Coti Zelati

Authors
  1. Antonio Ambrosetti
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  2. Vittorio Coti Zelati
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Supported by Ministero P.I. Gruppo Nazionale “Calcolo delle Variazioni” (40%)

Supported by a CNR scholarship.

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Ambrosetti, A., Zelati, V.C. Perturbation of hamiltonian systems with Keplerian potentials. Math Z 201, 227–242 (1989). https://doi.org/10.1007/BF01160679

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  • DOI: https://doi.org/10.1007/BF01160679

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