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math.DS2008
A generic property of families of Lagrangian systems
Patrick Bernard, Gonzalo Contreras
We prove that a generic lagrangian has finitely many minimizing measures for every cohomology class.
math.DS2003★ 5 cited
The Palais-Smale condition for contact type energy levels for convex lagrangian systems
Gonzalo Contreras
We prove that for a uniformly convex Lagrangian system L on a compact manifold M, almost all energy levels contain a periodic orbit. We also prove that below Ma ne's critical value…