Calculus of Variations and Geometric Measure Theory

G. De Philippis - A. Figalli

Higher integrability for minimizers of the Mumford-Shah functional

created by dephilipp on 05 Mar 2013
modified on 30 Oct 2017


Accepted Paper

Inserted: 5 mar 2013
Last Updated: 30 oct 2017

Journal: Arch. Ration. Mech. Anal.
Year: 2013

ArXiv: 1303.1196 PDF


We prove higher integrability for the gradient of local minimizers of the Mumford-Shah energy functional, providing a positive answer to a conjecture of De Giorgi.

Tags: GeMeThNES