In this paper we look for periodic orbits for a Lagrangian system in a complete Riemannian manifold under the action of an eventually unbounded potential. An upper bound on the fixed period is obtained by means of variational tools involving penalization arguments and Morse theory.
Periodic orbits on Riemannian manifolds under the action of an at most quadratic potential
CANDELA, Anna Maria;SALVATORE, Addolorata
2006-01-01
Abstract
In this paper we look for periodic orbits for a Lagrangian system in a complete Riemannian manifold under the action of an eventually unbounded potential. An upper bound on the fixed period is obtained by means of variational tools involving penalization arguments and Morse theory.File in questo prodotto:
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