A Hölder estimate for entire solutions to the two-valued minimal surface equation

DOI10.1090/proc/12774zbMath1382.49051OpenAlexW821893780MaRDI QIDQ2790198

Leobardo Rosales

Publication date: 3 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5701033774d8539413228df13d0553a5e76ba31b

zbMATH Keywords

Bernstein-type theoremtwo-valued minimal surface equation

Mathematics Subject Classification ID

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

Cites Work

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• The strong halfspace theorem for minimal surfaces
• 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
• Equations of mean curvature type in 2 independent variables
• A Hölder estimate for quasiconformal maps between surfaces in Euclidean space
• New estimates for equations of minimal surface type
• A general regularity theory for stable codimension 1 integral varifolds
• Discontinuous solutions to the two-valued minimal surface equation
• Regularity of stable minimal hypersurfaces
• The geometric structure of solutions to the two-valued minimal surface equation

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