Lagrangian systems constrained on the closure of an open subset with Lipschitz boundary in a manifold are considered. Under suitable assumptions, the existence of infinitely many periodic solutions is proved.\par {\em Key Words}: Lagrangian systems; nonsmooth sets on manifolds; nonsmooth critical point theory, periodic solutions.
Lancelotti, S., Marzocchi, M., Lagrangian systems with Lipschitz obstacle on manifolds, <<TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS>>, 2006; 27 (2): 229-253 [https://hdl.handle.net/10807/313516]
Lagrangian systems with Lipschitz obstacle on manifolds
Lancelotti, Sergio
;Marzocchi, Marco
2006
Abstract
Lagrangian systems constrained on the closure of an open subset with Lipschitz boundary in a manifold are considered. Under suitable assumptions, the existence of infinitely many periodic solutions is proved.\par {\em Key Words}: Lagrangian systems; nonsmooth sets on manifolds; nonsmooth critical point theory, periodic solutions.
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