Monge's transport problem in the Heisenberg group

Details Monge's transport problem in the Heisenberg group Monge's transport problem in the Heisenberg group

2010-01-22

arxiv.org/abs/1001.4012v1

Mathematics

Analysis of PDEs

Scientific paper

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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