Distance functions with dense singular sets
Analysis of PDEs
2022-04-12 v2
Abstract
We characterize the denseness of the singular set of the distance function from a -hypersurface in terms of an inner ball condition and we address the problem of the existence of viscosity solutions of the Eikonal equation whose singular set (i.e. set of non-differentiability points) is not no-where dense.
Cite
@article{arxiv.2007.08959,
title = {Distance functions with dense singular sets},
author = {Mario Santilli},
journal= {arXiv preprint arXiv:2007.08959},
year = {2022}
}
Comments
7 pages. In v2 we correct a couple of minor typos. Submitted