The $$L^\infty $$ L ∞ optimal transport: infinite cyclical monotonicity and the existence of optimal transport maps

Author:

Jylhä Heikki

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference15 articles.

1. Ambrosio, L.: Lecture notes on optimal transportation. Mathematical aspects of evolving interfaces (Funchal, 2000), Lecture notes in mathematics. Springer, New York (2003)

2. Ambrosio, L., Gigli, N., Savaré, G.: Gradient flows in metric spaces and in the space of probability measures, 2nd edn. Lectures in mathematics ETH Zurich, Birkhauser Verlag, Basel (2008)

3. Champion, T., De Pascale, L.: On the twist condition and $$c$$ c -monotone transport plans. Discrete Contin. Dyn. Syst. 34(4), 1339–1353

4. Champion, T., De Pascale, L.: The Monge problem for strictly convex norms in $${\mathbb{R}}^{d}$$ R d . J. Eur. Math. Soc. 12(6), 1355–1369 (2010)

5. Champion, T., De Pascale, L.: The Monge problem in $${\mathbb{R}}^{d}$$ R d . Duke Math. J. 157(3), 551–572 (2011)

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