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Publication 02-CNA-25
Some Remarks on the Analyticity of Minimizers of
Free Discontinuity Problems Giovanni Leoni and Massimiliano Morini Abstract: In this paper we give a partial answer to a conjecture of De Giorgi, namely we prove that in dimension two the regular part of the discontinuity set of a local minimizer of the homogeneous Mumford-Shah functional is analytic with the excpetion of at most a countable number of isolated points. Get the paper in its entirety as |