The exterior Plateau problem

DOI10.1007/BF02571238zbMath0719.53006OpenAlexW2031047764MaRDI QIDQ2640150

Rugang Ye, Friedrich Tomi

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174171

zbMATH Keywords

least areaconformal minimal immersionembedded solutionsrectifiable Jordan curveexterior Plateau problems

Mathematics Subject Classification ID

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

Related Items (7)

Embedded minimal annuli solving an exterior problem ⋮ Embedded solutions for exterior minimal surface problems ⋮ Constant mean curvature graphs on exterior domains of the hyperbolic plane ⋮ How to blow infinitely large soap bubbles with a fixed boundary ⋮ Plateau's problem for minimal surfaces with a catenoidal end ⋮ A bound for minimal graphs with a normal at infinity ⋮ On solutions of the exterior Dirichlet problem for the minimal surface equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The existence of embedded minimal surfaces and the problem of uniqueness
• The classical Plateau problem and the topology of three-dimensional manifolds. The embedding of the solution given by Douglas-Morrey and an analytic proof of Dehn's lemma
• Finiteness of the ramified set for branched immersions of surfaces
• A proof of the regularity everywhere of the classical solution to Plateau's problem
• Regularity of minimizing surfaces of prescribed mean curvature
• Verzweigungspunkte von H-Flächen. I
• On boundary branch points of minimizing surfaces
• Existence theorems for minimal surfaces of nonzero genus spanning a contour
• Regularity of stable minimal hypersurfaces
• The Problem of Plateau for Two Contours
• Boundary regularity and embedded solutions for the oriented Plateau problem

This page was built for publication: The exterior Plateau problem