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Solutions of minimal period for a Hamiltonian system with a changing sign potential

Solutions of minimal period for a Hamiltonian system with a changing sign potential

We consider a class of second-order Hamiltonian systems with apotential indefinite in sign. Applying the fibering approach weprove some existence and multiplicity results of periodicsolutions with minimal period. We also give an answer to theproblem of the existence of solutions with prescribed period $T$which is greater than the first eigenvalue …