Add to ORKGIn 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
The potential function of the optimal transportation problem satisfies a partial differential equati...
Abstract. In this note we prove that, if the cost function satisfies some necessary structural con-d...
We prove some asymptotic interior regularity results for potential functions of optimal transportati...
We consider some recent regularity results for the Monge-Ampère equation arising in the optimal tran...
In this thesis we study the regularity problem in optimal transportation, by establishing the a prio...
Regularity in optimal transportation In this talk, we give some estimates for solutions to the Monge...
International audienceThis paper describes recent results obtained in collaboration with M. Huesmann...
International audienceThis paper describes recent results obtained in collaboration with M. Huesmann...
International audienceWe provide a new proof of the known partial regularity result for the optimal ...
International audienceWe provide a new proof of the known partial regularity result for the optimal ...
We survey old and new regularity theory for the Monge-Ampère equation, show its connection to optima...
We survey old and new regularity theory for the Monge-Ampère equation, show its connection to optima...
This paper is concerned with the existence of globally smooth solutions for the second boundary valu...
Abstract. We develop an ε-regularity theory at the boundary for a general class of Monge-Ampère typ...
In the field of optimal transportation, one important issue is the regularity of the optimal transpo...
The potential function of the optimal transportation problem satisfies a partial differential equati...
Abstract. In this note we prove that, if the cost function satisfies some necessary structural con-d...
We prove some asymptotic interior regularity results for potential functions of optimal transportati...
We consider some recent regularity results for the Monge-Ampère equation arising in the optimal tran...
In this thesis we study the regularity problem in optimal transportation, by establishing the a prio...
Regularity in optimal transportation In this talk, we give some estimates for solutions to the Monge...
International audienceThis paper describes recent results obtained in collaboration with M. Huesmann...
International audienceThis paper describes recent results obtained in collaboration with M. Huesmann...
International audienceWe provide a new proof of the known partial regularity result for the optimal ...
International audienceWe provide a new proof of the known partial regularity result for the optimal ...
We survey old and new regularity theory for the Monge-Ampère equation, show its connection to optima...
We survey old and new regularity theory for the Monge-Ampère equation, show its connection to optima...
This paper is concerned with the existence of globally smooth solutions for the second boundary valu...
Abstract. We develop an ε-regularity theory at the boundary for a general class of Monge-Ampère typ...
In the field of optimal transportation, one important issue is the regularity of the optimal transpo...
The potential function of the optimal transportation problem satisfies a partial differential equati...
Abstract. In this note we prove that, if the cost function satisfies some necessary structural con-d...
We prove some asymptotic interior regularity results for potential functions of optimal transportati...