Stability of capillary hypersurfaces in a Euclidean ball
Differential Geometry
2018-10-17 v1
Abstract
We study the stability of capillary hypersurfaces in a unit Euclidean ball. It is proved that if the mass center of the generalized body enclosed by the immersed capillary hypersurface and the wetted part of the sphere is located at the origin, then the hypersurface is unstable. An immediate result is that all known examples except the totally geodesic ones and spherical caps are unstable.
Keywords
Cite
@article{arxiv.1408.2086,
title = {Stability of capillary hypersurfaces in a Euclidean ball},
author = {Haizhong Li and Changwei Xiong},
journal= {arXiv preprint arXiv:1408.2086},
year = {2018}
}
Comments
15 pages, 1 figure; all comments are welcome