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Symmetric solutions of the singular minimal surface equation

Authors :
Nico Groh
Ulrich Dierkes
Source :
Annals of Global Analysis and Geometry. 60:431-453
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

We classify all rotational symmetric solutions of the singular minimal surface equation in both cases $$\alpha α < 0 and $$\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.

Subjects

Subjects :
021103 operations research
Minimal surface
010102 general mathematics
Mathematical analysis
0211 other engineering and technologies
02 engineering and technology
01 natural sciences
Stability (probability)
Alpha (programming language)
Differential geometry
Mathematik
Geometry and Topology
0101 mathematics
Analysis
Mathematics

Details

ISSN :
15729060 and 0232704X
Volume :
60
Database :
OpenAIRE
Journal :
Annals of Global Analysis and Geometry
Accession number :
edsair.doi.dedup.....41df3712aa64a10e436f98b82fc392db

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Authors Abstract Subjects Details