Discontinuous solutions to the two-valued minimal surface equation

DOI10.1515/ACV.2011.005zbMath1226.49037MaRDI QIDQ3098011

Leobardo Rosales

Publication date: 11 November 2011

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

minimal surface equationstable minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (5)

Two-dimensional solutions to the \(c\)-Plateau problem in \(\mathbb {R}^{3}\) ⋮ A multiple-valued plateau problem ⋮ Co-dimension one area-minimizing currents with \(C^{1,\alpha }\) tangentially immersed boundary ⋮ Interior continuity of two-dimensional weakly stationary-harmonic multiple-valued functions ⋮ A Hölder estimate for entire solutions to the two-valued minimal surface equation

Cites Work

• On the first variation of a varifold: Boundary behavior
• The structure of stationary one dimensional varifolds with positive density
• Regularity of stable minimal hypersurfaces
• The geometric structure of solutions to the two-valued minimal surface equation

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