Symmetric Monge–Kantorovich problems and polar decompositions of vector fields

Polar factorization and monotone rearrangement of vector‐valued functions

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

Spectral Theory, Monge-ampere Equation, Dirichlet Form +8

Polar factorization of maps on Riemannian manifolds

Robert J. McCann · Geometric and Functional Analysis · 2001 · 474 citations

Geometry, Riemannian Geometry, Manifold Modeling +2

Optimal maps for the multidimensional Monge-Kantorovich problem

Wilfrid Gangbo, Andrzej wi ch · Communications on Pure and Applied Mathematics · 1998 · 177 citations

Mathematical Programming, Measure Theory, Engineering +10

Optimal-transport formulation of electronic density-functional theory

Giuseppe Buttazzo, Luigi De Pascale, Paola Gori‐Giorgi · Physical Review A · 2012 · 151 citations · Full text

Density functional theory and and optimal transportation with Coulomb cost

Codina Cotar · mediaTUM – the media and publications repository of the Technical University Munich (Technical University Munich) · 2013 · 146 citations · Full text