Calculus of Variations and Geometric Measure Theory
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L. De Pascale - S. Rigot

Monge's transport problem in the Heisenberg group

created by depascal on 26 Jan 2010
modified on 27 Jul 2010


Accepted Paper

Inserted: 26 jan 2010
Last Updated: 27 jul 2010

Journal: Adv. in Calc. Var.
Year: 2010


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.


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