A Bernstein result for energy minimizing hypersurfaces

DOI10.1007/BF02163263zbMath0819.35030MaRDI QIDQ1315047

Ulrich Dierkes

Publication date: 1 March 1994

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

nonexistence of positive entire solutionssingular variational integral

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational methods for second-order elliptic equations (35J20)

Related Items (14)

Invariant singular minimal surfaces ⋮ Curvature estimates for minimal hypersurfaces in singular spaces ⋮ Singular Minimal Translation Graphs in Euclidean Spaces ⋮ Enclosure theorems and barrier principles for energy stationary currents and the associated brakke-flow ⋮ The one dimensional case of the singular minimal surfaces with density ⋮ Ruled singular minimal surfaces ⋮ The Dirichlet problem for the \(\alpha \)-singular minimal surface equation ⋮ Maximum principles for energy stationary hypersurfaces ⋮ On solutions of the singular minimal surface equation ⋮ Integral curvature estimates for \(F\)-stable hypersurfaces ⋮ A Bernstein result for entire F-minimal graphs ⋮ Plateau-Rayleigh instability of singular minimal surfaces ⋮ Pointwise curvature estimates for \(F\)-stable hypersurfaces ⋮ Estimates for stable hypersurfaces of prescribed \(F\)-mean curvature

Cites Work

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• A NONEXISTENCE THEOREM FOR THE TWO-DIMENSIONAL AMLOGUE OF THE CATENARY
• On Harnack's theorem for elliptic differential equations
• Elliptic Partial Differential Equations of Second Order

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