Two-dimensional solutions to the \(c\)-Plateau problem in \(\mathbb {R}^{3}\)

DOI10.1007/S10455-016-9505-5zbMath1352.49051OpenAlexW2311800240MaRDI QIDQ329118

Leobardo Rosales

Publication date: 21 October 2016

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-016-9505-5

zbMATH Keywords

\(c\)-Plateau problemarea-minimizationinteger one-rectifiable currentsisoperimetric mass

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75)

Related Items (2)

A geometric maximum principle argument at the boundary for co-dimension one area-minimizing currents with \(C^{1,\alpha}\) Tangentially immersed boundary ⋮ Co-dimension one area-minimizing currents with \(C^{1,\alpha }\) tangentially immersed boundary

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• Discontinuous solutions to the two-valued minimal surface equation
• Regularity of stable minimal hypersurfaces
• Boundary regularity and embedded solutions for the oriented Plateau problem
• The geometric structure of solutions to the two-valued minimal surface equation

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