Classical area minimizing surfaces with real-analytic boundaries

DOI10.1007/BF02392746zbMath0955.53008WikidataQ125858853 ScholiaQ125858853MaRDI QIDQ1389806

Brian White

Publication date: 27 February 2001

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

zbMATH Keywords

regularityminimal surfacePlateau problemarea minimizing diskalmost-conformal maptrue branch point

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (5)

On the Boundary Behavior of Mass-Minimizing Integral Currents ⋮ The regularity theory for the area functional (in geometric measure theory) ⋮ Quasiconformal harmonic mappings between \(C^{1,\mu}\) Euclidean surfaces ⋮ On the nonexistence of boundary branch points for minimal surfaces spanning smooth contours. II ⋮ Nonclassical minimizing surfaces with smooth boundary

Cites Work

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• The structure of branch points in minimal surfaces and in pseudoholomorphic curves
• 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
• Two Dimensional Area Minimizing Integral Currents are Classical Minimal Surfaces
• A Theory of Branched Immersions of Surfaces
• Some Theorems on Integral Currents
• Some remarks on minimal surfaces in riemannian manifolds
• Boundary regularity and embedded solutions for the oriented Plateau problem

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