Regularity and splitting of directed minimal cones
| dc.creator | Schnuerer, Oliver C. | |
| dc.date | 2003-08-21 | |
| dc.date.accessioned | 2026-07-07T05:00:32Z | |
| dc.date.available | 2026-07-07T05:00:32Z | |
| dc.description | We show that directed minimal cones in (n+1)-dimensional Euclidean space which have at most one singularity are - besides the trivial cases: empty set, whole space - half spaces. Using blow-up techniques, this result can be used to get C^{1,lambda}-regularity for the measure-theoretic boundary of almost minimal Caccioppoli sets which are representable as subgraphs in R^n, n<=8. This provides a different method to obtain a result due to De Giorgi. We also prove a splitting theorem for general directed minimal cones. Such a cone is the Cartesian product of R^k and C, where C is an undirected minimal cone or a half-line. | |
| dc.description | 20 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0308204 | |
| dc.identifier | http://arxiv.org/abs/math/0308204 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68359 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Differential Geometry | |
| dc.subject | 49Q15; 35D10 | |
| dc.title | Regularity and splitting of directed minimal cones | |
| dc.type | text |