Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

L. Granieri

Remarks on the stability of mass minimizing currents in the Monge-Kantorovich problem

created by granieri on 21 Apr 2010
modified on 08 Mar 2012

[BibTeX]

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.

Credits | Cookie policy | HTML 5 | CSS 2.1