Abstract. We develop an ε-regularity theory at the boundary for a general class of Monge-Ampère type equations arising in optimal transportation. As a corollary we deduce that optimal transport maps between Hölder densities supported on C2 uniformly convex domains are C1,α up to the boundary, provided that the cost function is a sufficient small perturbation of the quadratic cost −x · y. 1
In this paper we prove the strict c-convexity and the C1,α regularity for potential functions in opt...
In this paper, we establish the global C2,α and W2,p regularity for the Monge-Ampère equation detD2u...
We prove some asymptotic interior regularity results for potential functions of optimal transportat...
We develop an ε-regularity theory at the boundary for a general class of Monge–Ampère type equation...
We provide a different proof for the global C1,α regularity of potential functions in the optimal tr...
In this thesis we study the regularity problem in optimal transportation, by establishing the a prio...
Abstract. We survey old and new regularity theory for the Monge-Ampère equation, show its connectio...
We prove some interior regularity results for potential functions of optimal transportation problems...
We prove some interior regularity results for potential functions of optimal transportation problems...
Abstract. In this note we prove that, if the cost function satisfies some necessary structural con-d...
We consider some recent regularity results for the Monge-Ampère equation arising in the optimal tran...
We prove some asymptotic interior regularity results for potential functions of optimal transportati...
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...
Regularity in optimal transportation In this talk, we give some estimates for solutions to the Monge...
In this paper we prove the strict c-convexity and the C1,α regularity for potential functions in opt...
In this paper, we establish the global C2,α and W2,p regularity for the Monge-Ampère equation detD2u...
We prove some asymptotic interior regularity results for potential functions of optimal transportat...
We develop an ε-regularity theory at the boundary for a general class of Monge–Ampère type equation...
We provide a different proof for the global C1,α regularity of potential functions in the optimal tr...
In this thesis we study the regularity problem in optimal transportation, by establishing the a prio...
Abstract. We survey old and new regularity theory for the Monge-Ampère equation, show its connectio...
We prove some interior regularity results for potential functions of optimal transportation problems...
We prove some interior regularity results for potential functions of optimal transportation problems...
Abstract. In this note we prove that, if the cost function satisfies some necessary structural con-d...
We consider some recent regularity results for the Monge-Ampère equation arising in the optimal tran...
We prove some asymptotic interior regularity results for potential functions of optimal transportati...
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...
Regularity in optimal transportation In this talk, we give some estimates for solutions to the Monge...
In this paper we prove the strict c-convexity and the C1,α regularity for potential functions in opt...
In this paper, we establish the global C2,α and W2,p regularity for the Monge-Ampère equation detD2u...
We prove some asymptotic interior regularity results for potential functions of optimal transportat...
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