Density lower bound estimates for local minimizers of the 2d Mumford-Shah energy

被引：5

作者：

De Lellis, Camillo ^{[1
]}

Focardi, Matteo ^{[2
]}

机构：

[1] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland

[2] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

来源：

MANUSCRIPTA MATHEMATICA | 2013年 / 142卷 / 1-2期

关键词：

EXISTENCE THEOREM;

D O I：

10.1007/s00229-012-0601-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：215 / 232

页数：18

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