A generic property of families of Lagrangian systems

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

Abstract

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

DOI
10.4007/annals.2008.167.1099
MR
2415395
Zbl
1175.37067
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