2010/01/22 by Luigi De Pascale, De Pascale, Luigi, Severine Rigot +1
Mathematics · #49Q20 #53C17 #Analysis of PDEs (math.AP) #FOS: Mathematics #Metric Geometry (math.MG) #math.AP #math.MG #msc:49Q20 #msc:53C17
paper · pdf · doi:10.48550/arxiv.1001.4012
arxiv created 2010/01/22 · arxiv updated 2010/02/26
We prove the existence of solutions to Monge transport problem between two compactly supported Borel probability measures in the Heisenberg group equipped with its Carnot-Caratheodory distance assuming that the initial measure is absolutely continuous with respect to the Haar measure of the group.