Browsing by Author "Nguyen, Truyen"

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A perturbation argument for a Monge-Ampere type equation arising in optimal transportation

González Nogueras, María del Mar; Caffarelli, Luis; Nguyen, Truyen (2011-11)
External research report
Open Access
We prove some asymptotic interior regularity results for potential functions of optimal transportation problems with power costs. We show that our problems are equivalent to optimal transportation problems whose cost ...
A Perturbation argument for a Monge–Ampère type equation arising in optimal transportation

Caffarelli, Luis; González Nogueras, María del Mar; Nguyen, Truyen (2014-05-01)
Article
Restricted access - publisher's policy
We prove some interior regularity results for potential functions of optimal transportation problems with power costs. The main point is that our problem is equivalent to a new optimal transportation problem whose cost ...