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De Philippis, Guido; Maggi, Francesco (2017). Dimensional estimates for singular sets in geometric variational problems with free boundaries. Journal für die Reine und Angewandte Mathematik, 2017(725):217-234.
We show that singular sets of free boundaries arising in codimension one anisotropic geometric variational problems are $ℋ^{n−3}$-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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | National licences > 142-005 |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics
Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | Applied Mathematics, General Mathematics |
| Language: | English |
| Date: | 1 January 2017 |
| Deposited On: | 18 Oct 2021 10:24 |
| Last Modified: | 14 Sep 2024 03:42 |
| Publisher: | De Gruyter |
| ISSN: | 0075-4102 |
| OA Status: | Green |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1515/crelle-2014-0100 |
De Philippis, Guido