InteriorC2,αRegularity for Potential Functions in Optimal Transportation
نویسندگان
چکیده
منابع مشابه
On Strict Convexity and C Regularity of Potential Functions in Optimal Transportation
This note concerns the relationship between conditions on cost functions and domains and the convexity properties of potentials in optimal transportation and the continuity of the associated optimal mappings. In particular, we prove that if the cost function satisfies the condition (A3), introduced in our previous work with Xinan Ma, the densities and their reciprocals are bounded and the targe...
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2009
ISSN: 0360-5302,1532-4133
DOI: 10.1080/03605300903236609