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Local calibrations for minimizers of the Mumford-Shah functional with a triple junction
Maria Giovanna Mora
We prove that, if u is a function satisfying all Euler conditions for the Mumford-Shah functional and the discontinuity set of u is given by three line segments meeting at the orig…
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…
Finite Difference Approximation of Free Discontinuity Problems
Massimo Gobbino, Maria Giovanna Mora
We approximate functionals depending on the gradient of and on the behaviour of near the discontinuity points, by families of non-local functionals where the gradient is re…
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…