## Differential and Integral Equations

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

#### 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 $n-1$.

#### Article information

Source
Differential Integral Equations, Volume 28, Number 5/6 (2015), 523-536.

Dates
First available in Project Euclid: 30 March 2015