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A smooth curve in \(R^4\) bounding a continuum of area minimizing surfaces

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Publication:1231177
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DOI10.1215/S0012-7094-76-04366-0zbMath0338.53003MaRDI QIDQ1231177

Frank Morgan

Publication date: 1976

Published in: Duke Mathematical Journal (Search for Journal in Brave)



Mathematics Subject Classification ID

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


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Examples of Unoriented Area-Minimizing Surfaces, A smooth curve in \(R^ 3\) bounding a continuum of minimal manifolds, Generic uniqueness for the Plateau problem, Almost every curve in \(R^3\) bounds a unique area minimizing surface, Colloquium lectures on geometric measure theory, Measures on spaces of surfaces, Area-minimizing currents bounded by higher multiples of curves



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