Existence and non existence of capillary surfaces

DOI10.1007/BF01647961zbMath0421.49043MaRDI QIDQ1133154

Robert Finn

Publication date: 1979

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

Full work available at URL: https://eudml.org/doc/154625

zbMATH Keywords

constant mean curvatureangle of contactCapillary problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (6)

Non existence and existence of capillary surfaces ⋮ Minimal boundaries enclosing a given volume ⋮ On the behaviour of the surfaces of equilibrium in the capillary tubes when gravity goes to zero ⋮ Unnamed Item ⋮ A characterization of convex calibrable sets in \(\mathbb R^N\) ⋮ Minimizers of the prescribed curvature functional in a Jordan domain with no necks

Cites Work

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• Non existence and existence of capillary surfaces
• On capillary free surfaces in the absence of gravity
• On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions
• Über ein verallgemeinertes Dirichletsches Problem für die Minimalflächengleichung und hebbare Unstetigkeiten ihrer Lösungen
• Isolated Singularities of Solutions of Nonlinear Partial Differential Equations

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