Abstract
We show that singular sets of free boundaries arising in codimension one anisotropic geometric variational problems are Hn-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.
Original language | English (US) |
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Pages (from-to) | 217-234 |
Number of pages | 18 |
Journal | Journal fur die Reine und Angewandte Mathematik |
Volume | 2017 |
Issue number | 724 |
DOIs | |
State | Published - Apr 2017 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics