Boundary ε-regularity in optimal transportation
نویسندگان
چکیده
منابع مشابه
Boundary Ε-regularity in Optimal Transportation
We develop an ε-regularity theory at the boundary for a general class of MongeAmpère type equations arising in optimal transportation. As a corollary we deduce that optimal transport maps between Hölder densities supported on C uniformly convex domains are C up to the boundary, provided that the cost function is a sufficient small perturbation of the quadratic cost −x · y.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2015
ISSN: 0001-8708
DOI: 10.1016/j.aim.2014.12.032