Guido De Philippis, Francesco Maggi
Published 2014-07-17, updated 2014-07-29Version 2
We show that singular sets of free boundaries arising in codimension one anisotropic geometric variational problems are $\mathcal H ^{n-3}$-negligible, where $n$ is the ambient space dimension. In particular our results apply to capillarity type problems, and establish everywhere regularity in the three-dimensional case.
The rectifiability of singular sets for geometric flows (I)--Yang-Mills flow
Minimal surfaces in sub-Riemannian manifolds and structure of their singular sets in the (2,3) case
A new model for electrostatic MEMS with two free boundaries
![QR code for arXiv:1407.4834 [math.AP]](http://oss.arxitics.com/images/favicon.svg)