Uniqueness and non uniqueness of optimal maps in mass transport problem with not strictly convex cost

Roberto van der Putten

Commentationes Mathematicae Universitatis Carolinae (2010)

  • Volume: 51, Issue: 1, page 67-83
  • ISSN: 0010-2628

Abstract

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In the setting of the optimal transportation problem we provide some conditions which ensure the existence and the uniqueness of the optimal map in the case of cost functions satisfying mild regularity hypothesis and no convexity or concavity assumptions.

How to cite

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Putten, Roberto van der. "Uniqueness and non uniqueness of optimal maps in mass transport problem with not strictly convex cost." Commentationes Mathematicae Universitatis Carolinae 51.1 (2010): 67-83. <http://eudml.org/doc/37737>.

@article{Putten2010,
abstract = {In the setting of the optimal transportation problem we provide some conditions which ensure the existence and the uniqueness of the optimal map in the case of cost functions satisfying mild regularity hypothesis and no convexity or concavity assumptions.},
author = {Putten, Roberto van der},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {mass transport problem; measurable selections; degree theory; mass transport problem; measurable selection; degree theory},
language = {eng},
number = {1},
pages = {67-83},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Uniqueness and non uniqueness of optimal maps in mass transport problem with not strictly convex cost},
url = {http://eudml.org/doc/37737},
volume = {51},
year = {2010},
}

TY - JOUR
AU - Putten, Roberto van der
TI - Uniqueness and non uniqueness of optimal maps in mass transport problem with not strictly convex cost
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2010
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 51
IS - 1
SP - 67
EP - 83
AB - In the setting of the optimal transportation problem we provide some conditions which ensure the existence and the uniqueness of the optimal map in the case of cost functions satisfying mild regularity hypothesis and no convexity or concavity assumptions.
LA - eng
KW - mass transport problem; measurable selections; degree theory; mass transport problem; measurable selection; degree theory
UR - http://eudml.org/doc/37737
ER -

References

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