Published Paper

Inserted: 21 jul 2020
Last Updated: 14 jun 2021

Journal: Comm. Partial Differential Equations
Year: 2021
Doi: https://doi.org/10.1080/03605302.2021.1871623

Abstract:

We characterize the denseness of the singular set of the distance function from a $\mathcal{C}^1$-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.