Lagrangian systems with Lipschitz obstacle on manifolds

Sergio Lancelotti, Marco Marzocchi

DOI: http://dx.doi.org/10.12775/TMNA.2006.009

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.

Keywords


Lagrangian systems; nonsmooth sets; nonsmooth critical point theory; periodic solutions

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