About the cover: The work of Jesse Douglas on minimal surfaces

DOI10.1090/S0273-0979-08-01192-0zbMath1138.01011arXiv0710.5478WikidataQ124830356 ScholiaQ124830356MaRDI QIDQ3498867

Mario J. Micallef, Jeremy J. Gray

Publication date: 19 May 2008

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5478

zbMATH Keywords

minimal surfacePlateau problemDirichlet energy integralconformal harmonic mapA-functional integral equations

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (4)

Compact CMC graphs in \(M\times\mathbb{R}\) with boundary in two horizontal slices ⋮ Local uniformization and free boundary regularity of minimal singular surfaces ⋮ Harmonic reflection in quasicircles and well-posedness of a Riemann-Hilbert problem on quasidisks ⋮ Plateau’s Problem

Cites Work

• On the singular structure of two-dimensional area minimizing surfaces in \({\mathbb{R}}^ n\)
• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• The existence of minimal immersions of 2-spheres
• On two-dimensional parametric variational problems
• Minimal surfaces of higher topological structure
• The problem of Plateau on a Riemannian manifold
• Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds.
• Existence theorems for minimal surfaces of nonzero genus spanning a contour
• Solution of the Problem of Plateau
• The Problem of Plateau for Two Contours

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