On the existence of surfaces with prescribed mean curvature and boundary

DOI10.1007/BF01187700zbMath0343.49016MaRDI QIDQ1232692

Klaus Steffen

Publication date: 1976

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

Full work available at URL: https://eudml.org/doc/172301

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items

On the existence of surfaces with prescribed mean curvature and boundary in higher dimensions ⋮ Multiple surfaces of non-constant mean curvature ⋮ EXISTENCE OF MINIMAL H-BUBBLES ⋮ On the nonuniqueness of surfaces with constant mean curvature spanning a given contour ⋮ On the existence of integral currents with prescribed mean curvature vector ⋮ Hypersurfaces of prescribed mean curvature enclosing a given body ⋮ Existence and regularity for higher-dimensional \(H\)-systems ⋮ Liquid drops, soap bubbles and surfaces with constant mean curvature ⋮ Constant mean curvature surfaces with planar boundary ⋮ The evolution of \(H\)-surfaces with a Plateau boundary condition ⋮ The Dirichlet problem for \(H\)-systems with small boundary data: blowup phenomena and nonexistence results ⋮ Isoperimetric inequalities and the problem of Plateau ⋮ The non-existence of branch points in solutions to certain classes of Plateau type variational problems ⋮ The Dirichlet problem for the equation of prescribed mean curvature ⋮ Weak solutions to the heat flow for surfaces of prescribed mean curvature ⋮ Boundary regularity for minimizing currents with prescribed mean curvature ⋮ Large H-surfaces via the mountain-pass-lemma ⋮ Plateau's problem for surfaces of prescribed mean curvature in given regions ⋮ Multiple solutions to the Plateau problem for nonconstant mean curvature

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