Calculus of Variations and Geometric Measure Theory
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G. De Philippis - A. Figalli

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

created by dephilipp on 27 May 2014
modified on 28 Jan 2015

[BibTeX]

Accepted Paper

Inserted: 27 may 2014
Last Updated: 28 jan 2015

Journal: Differential Integral Equations
Year: 2014

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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