Bonacini, MarcoMorini, Massimiliano2013-07-262013-07-262013-07https://openscience.sissa.it/handle/1963/6985In this paper it is shown that any regular critical point of the Mumford-Shah functional, with positive definite second variation, is an isolated local minimizer with respect to competitors which are sufficiently close in the L^1-topology.enPreprintMumford-Shah functionalfree-discontinuity problemssecond variationlocal minimality conditionsMAT/05 ANALISI MATEMATICA