A note on the dimension of the singular set in free interface problems
Analysis of PDEs
2014-06-02 v1
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 .
Keywords
Cite
@article{arxiv.1405.7827,
title = {A note on the dimension of the singular set in free interface problems},
author = {Guido De Philippis and Alessio Figalli},
journal= {arXiv preprint arXiv:1405.7827},
year = {2014}
}