A mountain-pass theorem for asymptotically conical self-expanders
Differential Geometry
2020-04-01 v1 Analysis of PDEs
Abstract
We develop a min-max theory for asymptotically conical self-expanders of mean curvature flow. In particular, we show that given two distinct strictly stable self-expanders that are asymptotic to the same cone and bound a domain, there exists a new asymptotically conical self-expander trapped between the two.
Cite
@article{arxiv.2003.13857,
title = {A mountain-pass theorem for asymptotically conical self-expanders},
author = {Jacob Bernstein and Lu Wang},
journal= {arXiv preprint arXiv:2003.13857},
year = {2020}
}
Comments
49 pages, 0 figure