%0 Journal Article %J Calc. Var. Partial Differential Equations 16 (2003) 299-333 %D 2003 %T The calibration method for the Mumford-Shah functional and free-discontinuity problems %A Giovanni Alberti %A Guy Bouchitte %A Gianni Dal Maso %X We present a minimality criterion for the Mumford-Shah functional, and more generally for non convex variational integrals on SBV which couple a surface and a bulk term. This method provides short and easy proofs for several minimality results. %B Calc. Var. Partial Differential Equations 16 (2003) 299-333 %I Springer %G en_US %U http://hdl.handle.net/1963/3051 %1 1282 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-09T15:00:19Z\\nNo. of bitstreams: 1\\n0105013v1.pdf: 428802 bytes, checksum: de75d15134f2a74b36b0d71355e04835 (MD5) %R 10.1007/s005260100152 %0 Journal Article %J C. R. Acad. Sci. Paris Ser. I Math. 329 (1999), no. 3, 249-254 %D 1999 %T The calibration method for the Mumford-Shah functional %A Giovanni Alberti %A Guy Bouchitte %A Gianni Dal Maso %X In this Note we adapt the calibration method to functionals of Mumford-Shah type, and provide a criterion (Theorem 1) to verify that a given function is energy minimizing. Among other applications, we use this criterion to show that certain triple-junction configurations are minimizing (Example 3). %B C. R. Acad. Sci. Paris Ser. I Math. 329 (1999), no. 3, 249-254 %I Elsevier %G en %U http://hdl.handle.net/1963/1235 %1 2708 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:55:07Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1999 %R 10.1016/S0764-4442(00)88602-4