Periodic bounce trajectories with a low number of bounce points
F. Giannoni
Dipartimento di Matematica, Università di Tor Vergata, 00173 Roma, ItalyV. Benci
Istituto di Matematiche Applicate, Università, 56100 Pisa, Italy
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Abstract
In this paper we study the existence of a periodic trajectory with prescribed period, which bounoes against the boundary of an open subset of , in presence of a potential field. We prove the existence of periodic solutions with at most bounce points.
Résumé
Dans ce papier on étudie l’existence d’une trajectoire périodique à période fixée, qui rejaillit sur le bord d’un sous ensemble ouvert de dans un champ de potentiel. On démontre qu’il existe des solutions périodiques avec points de rejaillissement au plus.
Cite this article
F. Giannoni, V. Benci, Periodic bounce trajectories with a low number of bounce points. Ann. Inst. H. Poincaré Anal. Non Linéaire 6 (1989), no. 1, pp. 73–93
DOI 10.1016/S0294-1449(16)30332-8