Periodic solutions for singular hamiltonian systems and closed geodesics on non-compact riemannian manifolds
Kazunaga Tanaka (2000)
Annales de l'I.H.P. Analyse non linéaire
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Periodic solutions for singular hamiltonian systems and closed geodesics on non-compact riemannian manifolds
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Two theorems about the existence of periodic solutions with prescribed energy for second order Hamiltonian systems are obtained. One gives existence for almost all energies under very natural conditions. The other yields existence for all energies under a further condition.
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