Free boundary minimal surfaces and overdetermined boundary value problems
Differential Geometry
2018-12-24 v1 Analysis of PDEs
Abstract
In this paper we establish a connection between free boundary minimal surfaces in a ball in and free boundary cones arising in a one-phase problem. We prove that a doubly connected minimal surface with free boundary in a ball is a catenoid.
Keywords
Cite
@article{arxiv.1812.08943,
title = {Free boundary minimal surfaces and overdetermined boundary value problems},
author = {Nikolai Nadirashvili and Alexei V. Penskoi},
journal= {arXiv preprint arXiv:1812.08943},
year = {2018}
}
Comments
LaTeX, 13 pages