Accepted Paper

Inserted: 25 jul 2013
Last Updated: 22 feb 2014

Journal: Ann. Inst. H. Poincaré Anal. Non Linéaire
Year: 2014
Doi: 10.1016/j.anihpc.2014.01.006

Abstract:

In this paper it is shown that any regular critical point of the Mumford-Shah functional, with positive definite second variation, is an isolated local minimizer with respect to competitors which are sufficiently close in the $L^1$-topology.

Keywords: Free-discontinuity problems, Mumford-Shah functional, second variation, local minimality conditions

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