Hölder Continuity and Injectivity of Optimal Maps

Polar factorization and monotone rearrangement of vector‐valued functions

Yann Brenier · Communications on Pure and Applied Mathematics · 1991 · 1.7K citations

Natural Sciences, Mathematics, Optimization +8

The geometry of optimal transportation

Wilfrid Gangbo, Robert J. McCann · Acta Mathematica · 1996 · 864 citations · Full text

Natural Sciences, Economics, Mathematics +13

On the Translocation of Masses

L. V. Kantorovich · Journal of Mathematical Sciences · 2006 · 764 citations · Full text

Natural Sciences, Mathematics, Applied Mathematics +6

Interior W 2, p Estimates for Solutions of the Monge-Ampere Equation

Luis Caffarelli · Annals of Mathematics · 1990 · 405 citations

Natural Sciences, Mathematics, Differential Equations +6

Regularity of Potential Functions of the Optimal Transportation Problem

Xi‐Nan Ma, Neil S. Trudinger, Xu‐Jia Wang · Archive for Rational Mechanics and Analysis · 2005 · 390 citations

Natural Sciences, Mathematics, Optimization +13