Differential and Integral Equations
- Differential Integral Equations
- Volume 28, Number 5/6 (2015), 523-536.
A note on the dimension of the singular set in free interface problems
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 $n-1$.
Differential Integral Equations, Volume 28, Number 5/6 (2015), 523-536.
First available in Project Euclid: 30 March 2015
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De Philippis, Guido; Figalli, Alessio. A note on the dimension of the singular set in free interface problems. Differential Integral Equations 28 (2015), no. 5/6, 523--536. https://projecteuclid.org/euclid.die/1427744099