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Remarks on forced second order Hamiltonian systems with asymmetric potentials

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References

  1. A. Ambrosetti, V. Coti Zelati,Critical points with lack of compactness and singular dynamical systems, Ann. Mat. Pura Appl.149, 1987, 237–259.

    Article  MATH  MathSciNet  Google Scholar 

  2. A. Fonda, A. C. Lazer,Subharmonic solutions of conservative systems with non-convex potential, Proc. Amer. Math. Soc.115 1992, 183–190.

    Article  MATH  MathSciNet  Google Scholar 

  3. A. Fonda, M. Ramos,Large-amplitude subharmonic oscillations for scalar second-order differential equations with a-symmetric nonlinearities, J. Differential Equations81 1989, 215–220.

    Article  MATH  MathSciNet  Google Scholar 

  4. A. Fonda, Z. Schneider, F. Zanolin,Periodic oscillations for a nonlinear suspension bridge model, J. Comp. Appl. Math., to appear.

  5. A. C. Lazer, P. J. McKenna,Large amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis, SIAM Review32 1990, 537–578.

    Article  MATH  MathSciNet  Google Scholar 

  6. A. C. Lazer, P. J. McKenna,Large scale oscillatory behaviour in loaded asymmetric systems, Ann. Inst H. Poincaré, Analyse non linéaire4 1987, 224–274.

    MathSciNet  Google Scholar 

  7. J. Mawhin, M. Willem,Critical Point Theory and Hamiltonian Systems, Springer Verlag, 1989.

  8. P. H. Rabinowitz,Periodic solutions of Hamiltonian systems, Comm. Pure Appl. Math.31 1978, 157–184.

    Article  MathSciNet  Google Scholar 

  9. M. Struwe,Variational Methods, Springer Verlag, 1990.

  10. M. Willem,Subharmonic oscillations of convex hamiltonian systems, Nonlin. Anal. TMA9 1985, 1303–1311.

    Article  MATH  MathSciNet  Google Scholar 

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Dedicated to prof. L. Amerio

Conferenza tenuta da Antonio Ambrosetti il 28 settembre 1992

Supported by M.U.R.S.T.

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Ambrosetti, A., Carminati, C. Remarks on forced second order Hamiltonian systems with asymmetric potentials. Seminario Mat. e. Fis. di Milano 62, 5–16 (1992). https://doi.org/10.1007/BF02925434

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