Calculus of Variations and Geometric Measure Theory
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G. De Philippis - A. Figalli

Higher integrability for minimizers of the Mumford-Shah functional

created by dephilipp on 05 Mar 2013
modified on 09 Dec 2013

[BibTeX]

Accepted Paper

Inserted: 5 mar 2013
Last Updated: 9 dec 2013

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

Abstract:

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


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