caa a22 4500 445835818 CHVBK 20180317145330.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s00209-010-0677-6 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0677-6 Caravenna Laura SISSA, via Beirut 4, 34014, Trieste, Italy aut A proof of Sudakov theorem with strictly convex norms [Elektronische Daten] [Laura Caravenna] The paper establishes a solution to the Monge problem in $${\mathbb {R}^n}$$ for a possibly asymmetric norm cost function and absolutely continuous initial measures, under the assumption that the unit ball is strictly convex—but not necessarily differentiable nor uniformly convex. The proof follows the strategy initially proposed by Sudakov in 1976, found to be incomplete in 2000; the missing step is fixed in the above case adapting a disintegration technique introduced for a variational problem. By strict convexity, mass moves along rays, and we also investigate the divergence of the vector field of rays. Springer-Verlag, 2010 Mathematische Zeitschrift Springer-Verlag 268/1-2(2011-06-01), 371-407 0025-5874 268:1-2<371 2011 268 209 https://doi.org/10.1007/s00209-010-0677-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0677-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Caravenna Laura SISSA, via Beirut 4, 34014, Trieste, Italy aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 268/1-2(2011-06-01), 371-407 0025-5874 268:1-2<371 2011 268 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer