Doubly-connected minimal surfaces

DOI10.1007/BF00250292zbMath0352.53005OpenAlexW1978682653MaRDI QIDQ1235905

Robert Osserman, M. M. Schiffer

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1007/bf00250292

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items

\(\sigma _2\)-diffeomorphisms between 4-dimensional annuli, A variational characterization of the catenoid, A necessary condition for the existence of a doubly connected minimal surface, Necessary conditions and nonexistence results for connected submanifolds in a Riemannian manifold, Unnamed Item, Sobolev inequalities in manifolds with nonnegative intermediate Ricci curvature, Minimal hypersurfaces and geometric inequalities, Isoperimetric inequalities for submanifolds with bounded mean curvature, Maximum principles and nonexistence results for minimal submanifolds, The Nitsche conjecture, Doubly connected minimal surfaces and extremal harmonic mappings, An estimate of length for tubular minimal surfaces of arbitrary codimension, Unnamed Item, Some remarks on the isoperimetric inequality and a problem of Gehring, The isoperimetric inequality for doubly-connected minimal surfaces in \(\mathbb{R}^n\), The sharp isoperimetric inequality for minimal surfaces with radially connected boundary in hyperbolic space, Stability of minimal surfaces and eigenvalues of the Laplacian, Enclosure and non-existence theorems for area stationary currents and currents with mean curvature vector, Complete properly embedded minimal surfaces in \(\mathbf R^3\), The isoperimetric inequality for a minimal submanifold in Euclidean space

Cites Work

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• A supplement to the condition of J. Douglas
• The isoperimetric inequality for multiply-connected minimal surfaces
• Numerical estimates for minimal surfaces
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• Remarks on the isoperimetric inequality for multiply-connected H- surfaces
• Maximum principles for minimal surfaces and for surfaces of continuous mean curvature
• A Theory of Branched Immersions of Surfaces
• Area Bounds for Various Classes of Surfaces
• Note on the Nonexistence of Minimal Surfaces
• Doubly-Connected Minimal Surfaces