Inserted: 23 oct 2009
Last Updated: 8 nov 2016
Journal: Interfaces Free Bound.
In this paper we study the H\"older regularity of the landscape function introduced by Santambrogio. We introduce a new tecnique which improves and simplifies the result of Santambrogio extending it to lower Ahlfors measures in general dimension $h$.
Keywords: optimal transportation problems, irrigation models, landscape function