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arxiv: 1303.1196 · v1 · pith:6QREJJIVnew · submitted 2013-03-05 · 🧮 math.AP

Higher integrability for minimizers of the Mumford-Shah functional

Guido De Philippis , Alessio Figalli This is my paper
classification 🧮 math.AP
keywords functionalhigherintegrabilityminimizersmumford-shahanswerconjectureenergy
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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.

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