We prove, using direct variational arguments, an explicit energy-treshold criterion for regular points of 2-dimensional Mumford-Shah energy minimizers. From this we infer an explicit constant for the density lower bound of De Giorgi, Carriero and Leaci.
Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy / C. De Lellis; M. Focardi. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - 132:(2013), pp. 215-232. [10.1007/s00229-012-0601-y]
Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy
FOCARDI, MATTEO
2013
Abstract
We prove, using direct variational arguments, an explicit energy-treshold criterion for regular points of 2-dimensional Mumford-Shah energy minimizers. From this we infer an explicit constant for the density lower bound of De Giorgi, Carriero and Leaci.
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