A remark on free boundary Plateau problem for surfaces of general topological type

DOI10.3792/pjaa.67.14zbMath0743.58012OpenAlexW2047324933MaRDI QIDQ1178761

Nobumitsu Nakauchi

Publication date: 26 June 1992

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.67.14

zbMATH Keywords

Teichmüller spacePlateau problemcondition of cohesioninter-border cohesion

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Cites Work

• Unnamed Item
• Multiply connected minimal surfaces and the geometric annulus theorem
• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• On Shiffman's solution for the Plateau problem in a Riemannian manifold
• Minimal surfaces of higher topological structure
• Existence theorems for minimal surfaces of nonzero genus spanning a contour
• A Theory of Branched Immersions of Surfaces
• Behavior of minimal surfaces with free boundaries
• The Plateau Problem for Minimal Surfaces of Arbitrary Topological Structure

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