On stable surfaces of prescribed mean curvature with partially free boundaries

DOI10.1007/s00526-005-0325-xzbMath1079.53018OpenAlexW2156779403MaRDI QIDQ2572548

Yanyan Li

Publication date: 10 November 2005

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-005-0325-x

zbMATH Keywords

mixed boundary problemprojectablegeneralized area functional

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Free boundary problems for PDEs (35R35)

Related Items (1)

Boundary equations and regularity theory for geometric variational systems with Neumann data

Cites Work

• Regularity for stationary surfaces of constant mean curvature with free boundaries
• Uniqueness of stable minimal surfaces with partially free boundaries
• The number of branch points of surfaces of bounded mean curvature
• The Plateau problem for surfaces of prescribed mean curvature in a cylinder
• Randwertprobleme für Flächen mit vorgeschriebener mittlerer Krümmung und Anwendungen auf die Kapillaritätstheorie. II: Freie Ränder. (Boundary value problems for surfaces with prescript mean curvature and applications to the capillarity theory. II: Free boundary values)
• Surfaces of constant mean curvature which have a simple projection
• Partielle Differentialgleichungen der Geometrie und der Physik
• Partielle Differentialgleichungen der Geometrie und der Physik
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