Morse–Radó theory for minimal surfaces-Reference-Cited by-同舟云学术

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Morse–Radó theory for minimal surfaces

Published:2023-07-20 Issue: Volume: Page:
ISSN:0024-6107
Container-title:Journal of the London Mathematical Society
language:en
Short-container-title:Journal of London Math Soc

Author:

Hoffman David¹^ORCID,Martín Francisco²^ORCID,White Brian¹^ORCID

Affiliation:

1. Department of Mathematics Stanford University Stanford California USA

2. Departamento de Geometría y Topología, Instituto de Matemáticas IMAG Universidad de Granada Granada Spain

Abstract

AbstractFor 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.

Publisher

Wiley

Subject

General Mathematics

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/jlms.12791

Reference15 articles.

1. A Course in Minimal Surfaces

2. On the Gauss curvature of non-parametric minimal surfaces

3. E. S.Gama F.Martín andN. M.Møller Finite entropy translating solitons in slabs arXiv:2209.01640 2022.

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1. Analytic saddle spheres in $$\mathbb {S}^3$$ are equatorial;Mathematische Annalen;2023-10-30

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