Published Paper

Inserted: 16 nov 2023
Last Updated: 4 nov 2024

Journal: Annali della Scuola Normale di Pisa - Classe di Scienze
Year: 2023
Doi: https://doi.org/10.2422/2036-2145.202311_013

Abstract:

We show the existence of a strictly convex function $u: B_1 \to \mathbb R$ with associated Monge-Ampere measure represented by a function $f$ with $0 < f < 1$ a.e. whose Hessian has a singular part.