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Multibump homoclinic solutions for a class of second order, almost periodic Hamiltonian systems

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Abstract.

We prove the existence of infinitely many homoclinic solutions for a class of second order Hamiltonian systems in R N of the form \(-\ddot{q}=-q+\alpha(t)W'(q)\) where \(\alpha\) is almost periodic and W is superquadratic.

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Authors and Affiliations

  1. Istituto di Matematica, Facoltà di Architettura, via Monteoliveto 3, 80134 Napoli, Italy, , , , , , IT

    V. Coti Zelati

  2. Dipartimento di Matematica, Università di Trieste, Piazzale Europa 1, 34127 Trieste, Italy, , , , , , US

    P. Montecchiari

  3. Sissa,via Beirut 4, 34014 Trieste, Italy, , , , , , IT

    M. Nolasco

Authors
  1. V. Coti Zelati
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  2. P. Montecchiari
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  3. M. Nolasco
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Received October 17, 1995

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Coti Zelati, V., Montecchiari, P. & Nolasco, M. Multibump homoclinic solutions for a class of second order, almost periodic Hamiltonian systems. NoDEA, Nonlinear differ.equ.appl. 4, 77–99 (1997). https://doi.org/10.1007/PL00001412

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  • DOI: https://doi.org/10.1007/PL00001412

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