Inserted: 23 jul 2009
Last Updated: 6 sep 2010
Journal: ESAIM COCV
Published online October 9, 2009. The original paper is available on http:/www.esaim-cocv.org
We provide an approximation of Mather variational problem by finite dimensional minimization problems in the framework of $\Gamma$-convergence. By a linear programming interpretation as done in Evans-Gomez paper we state a duality theorem for the Mather problem, as well a finite dimensional approximation for the dual problem.