Calculus of Variations and Geometric Measure Theory

G. De Philippis - A. Figalli

Optimal regularity of the convex envelope

created by dephilipp on 11 Apr 2012
modified by figalli on 02 Nov 2013


Accepted Paper

Inserted: 11 apr 2012
Last Updated: 2 nov 2013

Journal: Trans. Amer. Math. Soc.
Year: 2013


We prove sharp regularity results for the convex envelope of a continuous function inside a convex domain.