Regularity of optimal transport maps and partial differential inclusions

被引：3
|
作者：
Ambrosio, Luigi [1 ]
De Philippis, Guido [1 ]
Kirchheim, Bernd [2 ]
机构：
[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy
[2] Univ Oxford, Math Inst, Oxford OX1 2JD, England
来源：
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2011年 / 22卷 / 03期
关键词：
Monge-Ampere equations; optimal transportation; partial differential inclusions; SEMIGEOSTROPHIC EQUATIONS;
D O I：
10.4171/RLM/602
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：311 / 336
页数：26
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