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1. CJM 1998 (vol 50 pp. 497)

Bolle, Philippe
Morse index of approximating periodic solutions for the billiard problem. Application to existence results
This paper deals with periodic solutions for the billiard problem in a bounded open set of $\hbox{\Bbbvii R}^N$ which are limits of regular solutions of Lagrangian systems with a potential well. We give a precise link between the Morse index of approximate solutions (regarded as critical points of Lagrangian functionals) and the properties of the bounce trajectory to which they converge.

Categories:34C25, 58E50

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