Calculus of Variations and Geometric Measure Theory

F. Santambrogio

Transport and Concentration Problems with Interaction Effects

created by santambro on 30 Dec 2005
modified on 14 Jan 2009


Published Paper

Inserted: 30 dec 2005
Last Updated: 14 jan 2009

Journal: J. Glob. Opt.
Volume: 38
Number: 1
Pages: 129-141
Year: 2007


After presenting an overview about variational problems on probability measures for functionals involving transport costs and extra terms encouraging or discouraging concentration, we look for optimality conditions, regularity properties and explicit computations in the case where Wasserstein distances and interaction energies are considered.

Keywords: regularity, Mass transportation, Monge-Ampère equation, interaction energy