Optimal regularity of the convex envelope

De Philippis, Guido; Figalli, Alessio

doi:10.1090/S0002-9947-2014-06306-X

Optimal regularity of the convex envelope
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by Guido De Philippis and Alessio Figalli PDF

Trans. Amer. Math. Soc. 367 (2015), 4407-4422 Request permission

Abstract:

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

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