Morse-Radó Theory for Minimal Surfaces
arXiv:2204.02024
Abstract
For a class of functions (called minimal Radó 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.
33 pages. 2 Figures. Final version to appear in the Journal of the LMS