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Existence and multiple solutions for nonautonomous second order systems with nonsmooth potentials

Existence and multiple solutions for nonautonomous second order systems with nonsmooth potentials

This paper is concerned with the nonautonomous second order Hamiltonian systems with nondifferetiable potentials. By using the nonsmooth least action principle and the nonsmooth local linking theorem, we obtain some new existence and multiplicity results for the periodic solutions.