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Size minimizing surfaces

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Publication:3632713
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DOI10.24033/ASENS.2090zbMath1184.49041OpenAlexW1640274166MaRDI QIDQ3632713

Thierry De Pauw

Publication date: 12 June 2009

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/AnnalesENS/4_42/html/ens_ann-sc_42_37-101.html


zbMATH Keywords

Plateau problemalgebraic boundaryrectiviable currentsmooth compact 1-dimensional submanifold \(R^3\)


Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Hausdorff and packing measures (28A78) Currents in global analysis (58A25)


Related Items (9)

Solution of the Kirchhoff-Plateau problem ⋮ A local description of 2-dimensional almost minimal sets bounded by a curve ⋮ Existence and soap film regularity of solutions to Plateau's problem ⋮ On the existence of mass minimizing rectifiable \(G\) chains in finite dimensional normed spaces ⋮ On the equality between the infima obtained by solving various Plateau's problems ⋮ Soap film spanning an elastic link ⋮ A direct approach to Plateau's problem ⋮ Almgren and topological minimality for the set \(Y\times Y\) ⋮ Solutions of the (free boundary) Reifenberg Plateau problem







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