A Bernstein-type theorem for minimal graphs of higher codimension via singular values

DOI10.1007/s10013-021-00473-zzbMath1469.58010OpenAlexW3134640935MaRDI QIDQ2042260

Lulu Jing, Ling Yang

Publication date: 28 July 2021

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-021-00473-z

zbMATH Keywords

singular valueminimal graphslope functionBenstein problemZitat Jost: 0960.53035Zitat Wang: Zbl 1021.53005

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Cites Work

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• The Gauss image of entire graphs of higher codimension and Bernstein type theorems
• The regularity of harmonic maps into spheres and applications to Bernstein problems
• A Bernstein result for minimal graphs of controlled growth
• Convex functions on Grassmannian manifolds and Lawson-Osserman problem
• On the number of exceptional values of the Gauss map of minimal surfaces
• An extrinsic rigidity theorem for minimal immersions from \(S^2\) into \(S^n\)
• Harmonic mappings and minimal submanifolds
• Some rigidity theorems for minimal submanifolds of the sphere
• The Gauss map of a complete non-flat minimal surface cannot omit 7 points of the sphere
• Curvature estimates for minimal hypersurfaces
• Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system
• A spherical Bernstein theorem for minimal submanifolds of higher codimension
• Bernstein type theorems for higher codimension
• Dirichlet boundary values on Euclidean balls with infinitely many solutions for the minimal surface system
• Bernstein theorems for length and area decreasing minimal maps
• Complete minimal surfaces in Euclidean \(n\)-spaces
• On the first variation of a varifold
• The Geometry of Grassmannian manifolds and Bernstein type theorems for higher codimension
• An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
• On graphic Bernstein type results in higher codimension
• On Harnack's theorem for elliptic differential equations
• DIFFERENTIAL GEOMETRY OF GRASSMANN MANIFOLDS
• The Tension Field of the Gauss Map

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