Regularity of Potential Functions of the Optimal Transportation Problem
Top Cited Papers
- 15 March 2005
- journal article
- research article
- Published by Springer Nature in Archive for Rational Mechanics and Analysis
- Vol. 177 (2) , 151-183
Abstract
No abstract availableKeywords
This publication has 20 references indexed in Scilit:
- Constructing optimal maps for Monge’s transport problem as a limit of strictly convex costsJournal of the American Mathematical Society, 2001
- Differential equations methods for the Monge-Kantorovich mass transfer problemMemoirs of the American Mathematical Society, 1999
- Boundary Regularity of Maps with Convex Potentials--IIAnnals of Mathematics, 1996
- The geometry of optimal transportationActa Mathematica, 1996
- Minkowski problem for complete noncompact convex hypersurfacesTopological Methods in Nonlinear Analysis, 1995
- Convex Analysis and Nonlinear Geometric Elliptic Equations1994
- The regularity of mappings with a convex potentialJournal of the American Mathematical Society, 1992
- Classical solvability in dimension two of the second boundary-value problem associated with the Monge-Ampère operatorAnnales de l'Institut Henri Poincaré C, Analyse non linéaire, 1991
- Polar factorization and monotone rearrangement of vector‐valued functionsCommunications on Pure and Applied Mathematics, 1991
- On the regularity of the monge‐ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)Communications on Pure and Applied Mathematics, 1977