A second order local minimality criterion for the triple junction singularity of the Mumford-Shah functional

Author: Cristoferi Riccardo  

Publisher: Edp Sciences

E-ISSN: 1262-3377|24|1|401-435

ISSN: 1292-8119

Source: ESAIM: Control, Optimisation and Calculus of Variations, Vol.24, Iss.1, 2018-05, pp. : 401-435

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Abstract

This paper is the first part of an ongoing project aimed at providing a local minimality criterion, based on a second variation approach, for the triple point configurations of the Mumford-Shah functional.