Published Paper

Inserted: 2 apr 2012
Last Updated: 6 nov 2013

Journal: Manuscripta Math.
Volume: 132
Pages: 215-232
Year: 2013
Doi: 10.1007/s00229-012-0601-y

Abstract:

We prove, using direct variational arguments, an explicit energy-treshold criterion for regular points of 2-dimensional Mumford-Shah energy (quasi-)minimizers. From this we infer an explicit constant for the density lower bound of De Giorgi, Carriero and Leaci.

Keywords: Local minimizer, Mumford-Shah energy, Density lower bound

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• DeLellisFocardi_DLB.pdf