Minimal surfaces, corners, and wires

DOI10.1007/BF02921333zbMath0725.53013OpenAlexW2093494429MaRDI QIDQ2276766

Kenneth A. Brakke

Publication date: 1992

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921333

zbMATH Keywords

minimal surfacescornerscapillary surfacescontact anglesWeierstrass representations

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items

The Surface Evolver, A local description of 2-dimensional almost minimal sets bounded by a curve, Soap films and covering spaces, Minimal cones on hypercubes, Dirac and Plateau billiards in domains with corners, Computational generation of open-foam representative volume elements with morphological control using distance fields

Uses Software

• Surface Evolver

Cites Work

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• Nonparametric minimal surfaces in \(R^ 3\) whose boundaries have a jump discontinuity
• Regularity of capillary surfaces over domains with corners: Borderline case
• On the behavior of a non-parametric minimal surface in a non-convex quadrilateral
• Regularity of capillary surfaces over domains with corners
• On the behavior of a capillary surface at a re-entrant corner
• The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
• The behavior of a minimal surface in a corner
• A uniqueness theorem for surfaces of least area with partially free boundaries on obstacles
• Bernstein Functions and the Dirichlet Problem