Given two measured spaces and , and a third space , given two functions and , we study the problem of finding two maps and such that the images and coincide, and the integral is maximal. We give condition on and for which there is a unique solution.
Mots clés : optimal transportation, measure-preserving maps
@article{COCV_2005__11_1_57_0, author = {Ekeland, Ivar}, title = {An optimal matching problem}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {57--71}, publisher = {EDP-Sciences}, volume = {11}, number = {1}, year = {2005}, doi = {10.1051/cocv:2004034}, mrnumber = {2110613}, zbl = {1106.49054}, language = {en}, url = {http://www.numdam.org/articles/10.1051/cocv:2004034/} }
TY - JOUR AU - Ekeland, Ivar TI - An optimal matching problem JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2005 SP - 57 EP - 71 VL - 11 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2004034/ DO - 10.1051/cocv:2004034 LA - en ID - COCV_2005__11_1_57_0 ER -
Ekeland, Ivar. An optimal matching problem. ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 1, pp. 57-71. doi : 10.1051/cocv:2004034. http://www.numdam.org/articles/10.1051/cocv:2004034/
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