Regularity of Potential Functions of the Optimal Transportation Problem

Author:

Ma Xi-Nan,Trudinger Neil S.,Wang Xu-Jia

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference34 articles.

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2. Ambrosio, L.: Optimal transport maps in Monge-Kantorovich problem. In: Proc. International Cong. Math. Beijing, Vol.3, 131–140 (2002)

3. Bakelman, I.J.: Convex analysis and nonlinear geometric elliptic equations. Springer, Berlin, 1994

4. Brenier, Y.: Polar factorization and monotone rearrangement of vector-valued functions. Comm. Pure Appl. Math. 44, 375–417 (1991)

5. Brenier, Y.: Extended Monge-Kantorovich theory. CIME lecture notes, 2001

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