Published Paper

Inserted: 21 apr 2010
Last Updated: 8 mar 2012

Journal: Indagationes Mathematicae
Volume: 20
Number: 4
Pages: 527-536
Year: 2009

Abstract:

The Monge-Kantorovich problem is equivalent to the problem of finding $1$-currents with fixed boundary and minimal mass. We address the question of the stability for the mass minimizing currents. In particular, we state a $\Gamma$-convergence result. We provide proofs relying just on basic properties of currents and on the notion of flat norm.