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math.FA2000
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…
math.FA2000
Some properties of the solutions of obstacle problems with measure data
P. Dall'Aglio, G. Dal Maso
We study some properties of the obstacle reactions associated with the solutions of unilateral obstacle problems with measure data. These results allow us to prove that, under very…