Flächen vorgeschriebener mittlerer Krümmung mit eineindeutiger Projektion auf eine Ebene

DOI10.1007/BF01214998zbMath0465.53003OpenAlexW2072791498MaRDI QIDQ1154684

Friedrich Sauvigny

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173170

zbMATH Keywords

Plateau problempresrcribed mean curvaturesurface with boundary Dirichlet problem

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Surfaces in Euclidean and related spaces (53A05)

Related Items (7)

Solution of boundary value problems for surfaces of prescribed mean curvature \(H (x, y, z)\) with 1-1 central projection via the continuity method ⋮ Maximum principle for \(H\)-surfaces in the unit cone and Dirichlet's problem for their equation in central projection ⋮ The Dirichlet problem for graphs of prescribed anisotropic mean curvature in ℝn+1 ⋮ Existence of stable H-surfaces in cones and their representation as radial graphs ⋮ Multiple solutions for the nonparametric Plateau problem within the Euclidean space \(\mathbb R^p\) of arbitrary dimension ⋮ Geometric properties of harmonic mappings in stable Riemannian domains ⋮ On two-dimensional immersions that are stable for parametric functionals of constant mean curvature type

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