4 papers
Global calibrations for the non-homogeneous Mumford-Shah functional
Massimiliano Morini
Using a calibration method we prove that, if is a closed regular hypersurface and if the function is discontinuous along and regular outside, then the function…
Local calibrations for minimizers of the Mumford-Shah functional with rectilinear discontinuity sets
Gianni Dal Maso, Maria Giovanna Mora, Massimiliano Morini
Using a calibration method, we prove that, if is a function which satisfies all Euler conditions for the Mumford-Shah functional on a two-dimensional open set , and the disc…
Functionals depending on curvatures with constraints
Maria Giovanna Mora, Massimiliano Morini
We deal with a family of functionals depending on curvatures and we prove for them compactness and semicontinuity properties in the class of closed and bounded sets which satisfy a…
Local calibrations for minimizers of the Mumford-Shah functional with a regular discontinuity set
Maria Giovanna Mora, Massimiliano Morini
Using a calibration method, we prove that, if w is a function which satisfies all Euler conditions for the Mumford-Shah functional on a two-dimensional domain, and the discontinuit…