Regularity of optimal transport maps and partial differential inclusions

In this work we address the issue of Sobolev regularity of solutions of Monge-Ampere equations in a borderline case and show how this question is related to a rigidity problem for partial differential inclusions.

Bibliographic Details
Main Authors: Ambrosio, L, De Philippis, G, Kirchheim, B
Format: Journal article
Language:English
Published: 2011