A generic property of families of Lagrangian systems

Pages 1099-1108 from Volume 167 (2008), Issue 3 by Patrick Bernard, Gonzalo Contreras

We prove that a generic Lagrangian has finitely many minimizing measures for every cohomology class.

Milestones

Received: 22 February 2006
Accepted: 26 January 2007
Published online: 1 March 2009

Authors

Patrick Bernard

Centre De Recherche en Mathématiques de la Décision, Université Paris-Dauphine, 75775 Paris, France and INSMI, CNRS, 75794 Paris, France

Gonzalo Contreras

CIMAT, Guanajuato, GTO, México