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 R 3 , and whose boundary consists of two coaxial circles of the same radius.

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Bibliographic Details
Published in:Nonlinear differential equations and applications 2024-03, Vol.31 (2), Article 21
Main Authors: Caldiroli, Paolo, Cora, Gabriele, Iacopetti, Alessandro
Format: Article
Language:English
Subjects:
Analysis
Curvature
Mathematics
Mathematics and Statistics
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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 R 3 , and whose boundary consists of two coaxial circles of the same radius.
ISSN:1021-9722
1420-9004
DOI:10.1007/s00030-023-00915-2