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.

A Note on the Dimension of the Singular Set In Free Interface Problems

De Philippis, Guido;
2015-01-01

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.
2015
28
5-6
523
536
https://arxiv.org/abs/1405.7827
http://projecteuclid.org/euclid.die/1427744099
De Philippis, Guido; Figalli, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/15836
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