Nonlocal Minimal Lawson Cones
Analysis of PDEs
2013-03-05 v1 Differential Geometry
Abstract
We prove the existence of the analog of Lawson's minimal cones for a notion of nonlocal minimal surface introduced by Caffarelli, Roquejoffre and Savin, and establish their stability/instability in low dimensions. In particular we find that there are nonlocal stable minimal cones in dimension 7, in contrast with the case of classical minimal surfaces.
Keywords
Cite
@article{arxiv.1303.0593,
title = {Nonlocal Minimal Lawson Cones},
author = {Juan Davila and Manuel del Pino and Juncheng Wei},
journal= {arXiv preprint arXiv:1303.0593},
year = {2013}
}
Comments
any comment is welcome