Maximum principles for minimal surfaces in \(\mathbb{R}^ 3\) having noncompact boundary and a uniqueness theorem for the helicoid

DOI10.1007/BF02570484zbMath0838.53014MaRDI QIDQ1903524

Friedrich Tomi, Jaime Bruck Ripoll

Publication date: 10 June 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156097

zbMATH Keywords

minimal surfacehelicoidal surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (3)

Maximum principle at infinity for complete minimal surfaces in flat 3-manifols ⋮ New characterizations of the helicoid in a cylinder ⋮ Some existence and nonexistence theorems for compact graphs of constant mean curvature with boundary in parallel planes.

Cites Work

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• The maximum principle at infinity for minimal surfaces in flat three manifolds
• Maximum principles and nonexistence results for minimal submanifolds
• Maximum principles for minimal surfaces and for surfaces of continuous mean curvature
• Some Remarks on Deformations of Minimal Surfaces
• Le problème de Dirichlet pour l'équation des surfaces minimales sur des domaines non bornés
• Weakly Differentiable Functions
• On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations

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