Nonlocal minimal surfaces
| dc.creator | Caffarelli, L. A. | |
| dc.creator | Roquejoffre, J. -M. | |
| dc.creator | Savin, O. | |
| dc.date | 2009-05-08 | |
| dc.date.accessioned | 2026-07-07T13:13:00Z | |
| dc.date.available | 2026-07-07T13:13:00Z | |
| dc.description | The de Giorgi theory for minimal surfaces consists in studying sets whose indicator function is a (local) minimum of the BV norm. In this paper we replace the BV norm by the $H^σ$ norm, with $σ<1/2$, and try to understand what the minimisers look like. Parallel to the de Giorgi theory we prove that, if the boundary of a minimiser is sufficiently flat in the unit ball, then it is a smooth piece of hypersurface. | |
| dc.identifier | https://arxiv.org/abs/0905.1183 | |
| dc.identifier | http://arxiv.org/abs/0905.1183 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229754 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Nonlocal minimal surfaces | |
| dc.type | text |