Morse-Rad\'o Theory for Minimal Surfaces
Differential Geometry
2023-06-22 v4
Abstract
For a class of functions (called minimal Rad\'o functions) that arise naturally in minimal surface theory, we bound the number of interior critical points (counting multiplicity) in terms of the boundary data and the Euler characteristic of the domain of the function.
Cite
@article{arxiv.2204.02024,
title = {Morse-Rad\'o Theory for Minimal Surfaces},
author = {David Hoffman and Francisco Martín and Brian White},
journal= {arXiv preprint arXiv:2204.02024},
year = {2023}
}
Comments
33 pages. 2 Figures. Final version to appear in the Journal of the LMS