An integer degree for asymptotically conical self-expanders
Differential Geometry
2018-07-18 v1 Analysis of PDEs
Abstract
We establish the existence of an integer degree for the natural projection map from the space of parameterizations of asymptotically conical self-expanders to the space of parameterizations of the asymptotic cones when this map is proper. As an application we show that there is an open set in the space of cones in the three-dimensional Euclidean space for which each cone in the set has a strictly unstable self-expanding annuli asymptotic to it.
Keywords
Cite
@article{arxiv.1807.06494,
title = {An integer degree for asymptotically conical self-expanders},
author = {Jacob Bernstein and Lu Wang},
journal= {arXiv preprint arXiv:1807.06494},
year = {2018}
}
Comments
42 pages, 0 figures