The geometric structure of solutions to the two-valued minimal surface equation
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Publication:5961984
DOI10.1007/s00526-009-0301-yzbMath1195.49051OpenAlexW2086141408WikidataQ115387572 ScholiaQ115387572MaRDI QIDQ5961984
Publication date: 16 September 2010
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-009-0301-y
Minimal surfaces and optimization (49Q05) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)
Related Items (9)
Two-dimensional solutions to the \(c\)-Plateau problem in \(\mathbb {R}^{3}\) ⋮ Stable branched minimal immersions with prescribed boundary ⋮ A multiple-valued plateau problem ⋮ The structure of stable codimension one integral varifolds near classical cones of density \(Q+1/2\) ⋮ 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 general regularity theory for stable codimension 1 integral varifolds ⋮ A Hölder estimate for entire solutions to the two-valued minimal surface equation ⋮ Discontinuous solutions to the two-valued minimal surface equation
Cites Work
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- Stable branched minimal immersions with prescribed boundary
- A regularity and compactness theory for immersed stable minimal hypersurfaces of multiplicity at most 2
- On the first variation of a varifold: Boundary behavior
- The structure of stationary one dimensional varifolds with positive density
- A Hölder estimate for quasiconformal maps between surfaces in Euclidean space
- Regularity of stable minimal hypersurfaces
- Isolated Singularities of Solutions of Nonlinear Partial Differential Equations
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