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Periodic orbits on Riemannian manifolds under the action of an at most quadratic potential |
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| Authors: | R. Bartolo A.M. Candela J.L. Flores A. Salvatore |
| Affiliation: | a Dipartimento di Matematica, Politecnico di Bari, Via G. Amendola 126/B, 70126 Bari, Italy b Dipartimento di Matematica, Università degli Studi di Bari, Via E. Orabona 4, 70125 Bari, Italy c Departamento de Álgebra, Geometría y Topología, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain |
| 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. |
| Keywords: | 37J45 49J40 58E05 |
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