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Periodic solutions of Hamiltonian systems with anisotropic growth

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  • In this paper we obtain some existence and multiplicity results for periodic solutions of nonautonomous Hamiltonian systems $\dot z(t)=J\nabla H(z(t),t)$ whose Hamiltonian functions may have simultaneously, in different components, superquadratic, subquadratic and quadratic behaviors. Our results generalize some earlier work [3] of P. Felmer and [5] of P. Felmer and Z.-Q. Wang.
    Mathematics Subject Classification: Primary: 34C25; 58E05; Secondary: 58F05.


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