Symmetric solutions of the singular minimal surface equation

Author:

Dierkes UlrichORCID,Groh Nico

Abstract

AbstractWe classify all rotational symmetric solutions of the singular minimal surface equation in both cases $$\alpha <0$$ α < 0 and $$\alpha >0$$ α > 0 . In addition, we discuss further geometric and analytic properties of the solutions, in particular stability, minimizing properties and Bernstein-type results.

Funder

Universität Duisburg-Essen

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On Euler–Dierkes–Huisken variational problem;Mathematische Annalen;2024-08-24

2. Catenaries in Riemannian surfaces;São Paulo Journal of Mathematical Sciences;2024-01-26

3. Cylindrical singular minimal surfaces;Rendiconti Lincei - Matematica e Applicazioni;2023-10-27

4. The n-dimensional analogue of a variational problem of Euler;Mathematische Annalen;2023-10-20

5. Geometric and Architectural Aspects of the Singular Minimal Surface Equation;New Trends in Geometric Analysis;2023

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