Annular type surfaces with fixed boundary and with prescribed, almost constant mean curvature

We prove existence and nonexistence results for annular type parametric surfaces with prescribed, almost constant mean curvature, characterized as normal graphs of compact portions of unduloids or nodoids in \(\mathbb{R}^{3}\), and whose boundary consists of two coaxial circles of the same radius.

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Bibliographic Details
Published in:arXiv.org 2022-11
Main Authors: Caldiroli, Paolo, Cora, Gabriele, Iacopetti, Alessandro
Format: Article
Language:English
Subjects:
Curvature
Online Access:Get full text
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Description
Summary:We prove existence and nonexistence results for annular type parametric surfaces with prescribed, almost constant mean curvature, characterized as normal graphs of compact portions of unduloids or nodoids in \(\mathbb{R}^{3}\), and whose boundary consists of two coaxial circles of the same radius.
ISSN:2331-8422