Calculus of Variations and Geometric Measure Theory
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Q. R. Li - F. Santambrogio - X. J. Wang

Continuity for the Monge mass transfer problem in two dimensions

created by santambro on 27 Oct 2016
modified on 29 Jul 2018

[BibTeX]

Accepted Paper

Inserted: 27 oct 2016
Last Updated: 29 jul 2018

Journal: Arch. Rati. Mech. An.
Year: 2018
Notes:

-- Second and strongly revised version --


Abstract:

In this paper, we prove the continuity of the monotone optimal mapping of the Monge mass transfer problem in two dimensions under certain conditions on the domains and the mass distributions.


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