Minimal boundaries enclosing a given volume

DOI10.1007/BF01165546zbMath0481.49035OpenAlexW2060296267MaRDI QIDQ1161924

Italo Tamanini, Umberto Massari, Eduardo H. A. Gonzalez

Publication date: 1981

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154781

zbMATH Keywords

free boundary problemsurfaces of constant mean curvatureminimal boundaries

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Free boundary problems for PDEs (35R35) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (11)

Ground states of a ternary system including attractive and repulsive Coulomb-type interactions ⋮ The second eigenvalue of the \(p\)-Laplacian as \(p\) goes to 1 ⋮ Uniqueness of the Cheeger set of a convex body ⋮ Total variation and Cheeger sets in Gauss space ⋮ Some remarks on uniqueness and regularity of Cheeger sets ⋮ Some special aspects related to the 1-Laplace operator ⋮ Dimensional lower bounds for contact surfaces of Cheeger sets ⋮ Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds ⋮ Area minimizing sets subject to a volume constraint in a convex set ⋮ Minimizers of the prescribed curvature functional in a Jordan domain with no necks ⋮ The isoperimetric problem in 2d domains without necks

Cites Work

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• Successioni convergenti di ipersuperfici di curvatura media assegnata
• On capillary free surfaces in the absence of gravity
• On the Dirichlet problem for surfaces of prescribed mean curvature
• The equilibrium configuration of liquid drops.
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables

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