Radial graphs of constant mean curvature and doubly connected minimal surfaces with prescribed boundary
type: Item
instance of: scholarly article
title: Radial graphs of constant mean curvature and doubly connected minimal surfaces with prescribed boundary
zbMATH Open document ID: 1042.53005
DOI: 10.1023/A:1023084817254
author: Pedro Fusieger
author: Jaime Ripoll
published in: Annals of Global Analysis and Geometry
publication date: 2003-06-09T00:00:00Z
review text: The authors investigate the existence and uniqueness of compact surfaces of constant mean curvature in \(\mathbb{R}^3\), with prescribed boundary, which are given as radial graphs over some domain in the sphere. The principal result establishes the existence of a minimal radial anullus spanning to convex given curves in parallel planes of \(\mathbb{R}^3\).
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 1925042
zbMATH Keywords: radial graphs
zbMATH Keywords: constant mean curvature
zbMATH Keywords: Dirichlet problem
reviewed by: Bernard Rouxel
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1925042