Symmetric solutions of the singular minimal surface equation-Reference-Cited by-同舟云学术

Symmetric solutions of the singular minimal surface equation

Published:2021-06-21 Issue:2 Volume:60 Page:431-453
ISSN:0232-704X
Container-title:Annals of Global Analysis and Geometry
language:en
Short-container-title:Ann Glob Anal Geom

Author:

Dierkes Ulrich^ORCID,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

Link

https://link.springer.com/content/pdf/10.1007/s10455-021-09785-2.pdf

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