A note on the dimension of the singular set in free interface problems

Published 30 May 2014 in math.AP | (1405.7827v1)

Abstract: The aim of this note is to investigate the size of the singular set of a general class of free interface problems. We show porosity of the singular set, obtaining as a corollary that both its Hausdorff and Minkowski dimensions are strictly smaller than $n-1$.

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