An existence theorem for surfaces in equilibrium satisfying a volume constraint

DOI10.1007/BF00249881zbMath0268.49051OpenAlexW2041238126MaRDI QIDQ758734

Henry C. Wente

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1007/bf00249881

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05)

Related Items (6)

Large solutions to the volume constrained Plateau problem ⋮ A resolution of the Poisson problem for elastic plates ⋮ A singular solution of the capillary equation. I: Existence ⋮ The non-existence of branch points in solutions to certain classes of Plateau type variational problems ⋮ Variational problems with obstacles and a volume constraint ⋮ Unnamed Item

Cites Work

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• Ein einfacher Beweis eines Regularitätssatzes für schwache Lösungen gewisser elliptischer Systeme
• An existence theorem for surfaces of constant mean curvature
• A general existence theorem for surfaces of constant mean curvature
• The Plateau problem for surfaces of prescribed mean curvature in a cylinder
• Ein verbesserter Existenzsatz für Flächen konstanter mittlerer Krümmung. (An improved existence theorem for surfaces of constant mean curvature)
• Surface Area. (AM-35)
• The Isoperimetric Inequality and the Lebesgue Definition of Surface Area

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