In this paper we look for periodic orbits for a Lagrangian system in a complete Riemannian manifold under the action of all eventually unbounded potential. An upperbound oil 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 / Bartolo, R; Candela, A M; Flores, J L; Salvatore, A. - In: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. - ISSN 0926-2245. - STAMPA. - 24:2(2006), pp. 108-118. [10.1016/j.difgeo.2005.08.003]
Periodic orbits on Riemannian manifolds under the action of an at most quadratic potential
Bartolo R;
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 all eventually unbounded potential. An upperbound oil the fixed period is obtained by means of variational tools involving penalization arguments and Morse theory.File in questo prodotto:
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