The \(n\)-dimensional least area problem for boundaries on a convex cone

DOI10.1007/BF00256386zbMath0477.53006MaRDI QIDQ1160919

Engelbert Tausch

Publication date: 1981

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

maximum principlea priori estimatesleast areaboundary data on a convex conereal analytic minimal surface

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items

Surfaces of prescribed mean curvature in a cone ⋮ Capillary surfaces in a cone ⋮ The area minimizing problem in conformal cones. I ⋮ Spacelike radial graphs of prescribed mean curvature in the Lorentz-Minkowski space

Cites Work

• A class of variational problems with linear growth
• Minimal cones and the Bernstein problem
• Un principio di massimo forte per le frontiere minimali e una sua applicazione alla risoluzione del problema al contorno per l'equazione delle superfici di area minima
• Elliptic Partial Differential Equations of Second Order
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
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