Vol. 12, No. 1, 2019

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Optimal transportation with constant constraint

Wyatt Boyer, Bryan Brown, Alyssa Loving and Sarah Tammen

Vol. 12 (2019), No. 1, 1–12

We consider optimal transportation with constraint, as did Korman and McCann (2013, 2015), provide simplifications and generalizations of their examples and results, and provide some new examples and results.

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optimal transportation, isoperimetric, geometry
Mathematical Subject Classification 2010
Primary: 49Q20
Secondary: 90C08
Received: 22 December 2014
Revised: 19 April 2016
Accepted: 2 May 2016
Published: 31 May 2018

Communicated by Michael Dorff
Wyatt Boyer
Department of Mathematics and Statistics
Williams College
Brighton, MA
United States
Bryan Brown
Department of Mathematics
Pomona College
Claremont, CA
United States
Alyssa Loving
Department of Mathematics
University of Hawaii at Hilo
Hilo, HI
United States
Sarah Tammen
Department of Mathematics
University of Georgia
Lawrenceville, GA
United States