The calibration method for the Mumford-Shah functional and free-discontinuity problems

  • Giovanni Alberti
  • Guy Bouchitté
  • Gianni Dal Maso
Original article

DOI: 10.1007/s005260100152

Cite this article as:
Alberti, G., Bouchitté, G. & Dal Maso, G. Calc Var (2003) 16: 299. doi:10.1007/s005260100152


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.

Mathematics Subject Classification (2000): 49K10 (49Q15, 49Q05, 58E12). 

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Giovanni Alberti
    • 1
  • Guy Bouchitté
    • 2
  • Gianni Dal Maso
    • 3
  1. 1.Dipartimento di Matematica, Università di Pisa, via Buonarroti 2, 56127 Pisa, Italy (e-mail: IT
  2. 2.UFR des Sciences et Techniques, Université de Toulon et du Var, BP 132, 83957 La Garde Cedex, France (e-mail: FR
  3. 3.S.I.S.S.A., via Beirut 4, 34014 Trieste, Italy (e-mail: IT

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