We survey old and new regularity theory for the Monge-Ampère equation, show its connection to optimal transportation, and describe the regularity properties of a general class of Monge-Ampère type equations arising in that context. © 2014 American Mathematical Society
The potential function of the optimal transportation problem satisfies a partial differential equati...
Abstract. We develop an ε-regularity theory at the boundary for a general class of Monge-Ampère typ...
We prove some interior regularity results for potential functions of optimal transportation problems...
We survey old and new regularity theory for the Monge-Ampère equation, show its connection to optima...
Abstract. We survey old and new regularity theory for the Monge-Ampère equation, show its connectio...
We consider some recent regularity results for the Monge-Ampère equation arising in the optimal tran...
Regularity in optimal transportation In this talk, we give some estimates for solutions to the Monge...
In this thesis we study the regularity problem in optimal transportation, by establishing the a prio...
In this talk, we give some estimates for solutions to the Monge-Amp`ere equation arising in optimal ...
International audienceThis paper describes recent results obtained in collaboration with M. Huesmann...
We prove some asymptotic interior regularity results for potential functions of optimal transportati...
International audienceThis paper describes recent results obtained in collaboration with M. Huesmann...
We prove some asymptotic interior regularity results for potential functions of optimal transportat...
We prove some asymptotic interior regularity results for potential functions of optimal transportati...
This paper is concerned with the existence of globally smooth solutions for the second boundary valu...
The potential function of the optimal transportation problem satisfies a partial differential equati...
Abstract. We develop an ε-regularity theory at the boundary for a general class of Monge-Ampère typ...
We prove some interior regularity results for potential functions of optimal transportation problems...
We survey old and new regularity theory for the Monge-Ampère equation, show its connection to optima...
Abstract. We survey old and new regularity theory for the Monge-Ampère equation, show its connectio...
We consider some recent regularity results for the Monge-Ampère equation arising in the optimal tran...
Regularity in optimal transportation In this talk, we give some estimates for solutions to the Monge...
In this thesis we study the regularity problem in optimal transportation, by establishing the a prio...
In this talk, we give some estimates for solutions to the Monge-Amp`ere equation arising in optimal ...
International audienceThis paper describes recent results obtained in collaboration with M. Huesmann...
We prove some asymptotic interior regularity results for potential functions of optimal transportati...
International audienceThis paper describes recent results obtained in collaboration with M. Huesmann...
We prove some asymptotic interior regularity results for potential functions of optimal transportat...
We prove some asymptotic interior regularity results for potential functions of optimal transportati...
This paper is concerned with the existence of globally smooth solutions for the second boundary valu...
The potential function of the optimal transportation problem satisfies a partial differential equati...
Abstract. We develop an ε-regularity theory at the boundary for a general class of Monge-Ampère typ...
We prove some interior regularity results for potential functions of optimal transportation problems...
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