| Issue |
ESAIM: COCV
Volume 11, Number 1, January 2005
|
|
|---|---|---|
| Page(s) | 57 - 71 | |
| DOI | https://doi.org/10.1051/cocv:2004034 | |
| Published online | 15 December 2004 | |
An optimal matching problem
University of British Columbia, Vancouver BC,
V6T 1Z2 Canada. ekeland@math.ubc.ca
Received:
4
February
2004
Given two measured spaces 
and 
, and a third space Z,
given two functions u(x,z) and v(x,z), we study the problem of finding two
maps 
and 
such that the images 
and 
coincide, and the integral 
is maximal. We give condition on u and v for which
there is a unique solution.
Mathematics Subject Classification: 05C38 / 15A15 / 05A15 / 15A18
Key words: optimal transportation / measure-preserving maps.
© EDP Sciences, SMAI, 2005
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