A smooth curve in \(R^ 3\) bounding a continuum of minimal manifolds

DOI10.1007/BF00250480zbMath0453.49027MaRDI QIDQ1149110

Frank Morgan

Publication date: 1981

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (2)

Limits of minimal surfaces and Scherk's fifth surface ⋮ Boundary configurations spanning continua of minimal surfaces

Cites Work

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• A smooth curve in \(R^4\) bounding a continuum of area minimizing surfaces
• Concerning the isolated character of solutions of Plateau's problem
• On the first variation of a varifold
• The analytic prolongation of a minimal surface over a rectilinear segment of its boundary
• Boundary regularity and embedded solutions for the oriented Plateau problem

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