Normal modes of a Lagrangian system constrained in a potential well
V. Benci
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Abstract
Let where is a bounded set in and let
We suppose that for and that
Under some smoothness assumptions, we prove that the Lagrangian system associated with the above Lagrangian has infinitely many periodic solutions of any period .
Résumé
Soit où est un borné de , on pose
Nous supposons que pour et que
Moyennant quelques hypothèses de différentiabilité, nous démontrons que le système Lagrangien associé à a une infinité de solutions -périodiques, quel que soit .
Cite this article
V. Benci, Normal modes of a Lagrangian system constrained in a potential well. Ann. Inst. H. Poincaré Anal. Non Linéaire 1 (1984), no. 5, pp. 379–400
DOI 10.1016/S0294-1449(16)30419-X