Calculus of Variations and Geometric Measure Theory
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A. Pratelli

How to show that some rays are maximal transport rays in Monge problem

created on 28 Jun 2004
modified by pratelli on 04 Oct 2005


Published Paper

Inserted: 28 jun 2004
Last Updated: 4 oct 2005

Journal: Rend. Sem. Mat. Univ. Padova
Volume: 113
Year: 2005


In this paper we prove a result, extending Lemma 8.1 in \cite{AmbPra}, which allows to proof that a set of segments is the set of the maximal transport rays for a transport problem. This is particularly useful to build non-trivial examples of transport maps, then in particular to provide specific examples (or counterexamples) in mass transportation. We also give some of these examples.


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