Inserted: 26 feb 1999
Last Updated: 6 mar 2007
Journal: C. R. Acad. Sci. Paris Sér. I Math.
Volume: 329 (1999)
In this note we adapt the calibration method to functionals of Mumford-Shah type, and provide a criterion to verify if a given function is energy minimizing. Among other applications, we use this criterion to show that certain triple-junction configurations are energy minimizing. Further applications will be described in a forthcoming paper.
Keywords: Mumford-Shah functional, calibrations, minimality criterion