Calculus of Variations and Geometric Measure Theory

M. G. Mora

The calibration method for free-discontinuity problems on vector-valued maps

created on 01 Aug 2001
modified on 30 Jul 2002


Published Paper

Inserted: 1 aug 2001
Last Updated: 30 jul 2002

Journal: J. Convex Anal.
Volume: 9
Number: 1
Pages: 1-29
Year: 2002


The calibration method is a classical minimality criterion, which has been recently adapted to functionals with free discontinuities by Alberti, Bouchitté, Dal Maso. In this paper we present a further generalization of this theory to functionals defined on vector-valued maps.

Keywords: Free-discontinuity problems, calibration method, sufficient condition for minimality