| Issue |
ESAIM: COCV
Volume 24, Number 1, January-March 2018
|
|
|---|---|---|
| Page(s) | 401 - 435 | |
| DOI | https://doi.org/10.1051/cocv/2017010 | |
| Published online | 19 January 2018 | |
Regular Article
A second order local minimality criterion for the triple junction singularity of the Mumford-Shah functional
Center for Nonlinear Analysis, Carnegie Mellon University,
Pittsburgh,
PA
15213-3890, USA
Corresponding author: rcristof@andrew.cmu.edu
Received:
5
April
2016
Revised:
3
February
2017
Accepted:
4
February
2017
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.
Mathematics Subject Classification: 49K10 / 49Q20
Key words: Calculus of variations / local minimality / mumford-Shah functional / free discontinuity problems / second variation
© EDP Sciences, SMAI 2018
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