Non-uniqueness and uniqueness of capillary surfaces

DOI10.1007/BF01258444zbMath0659.53005OpenAlexW4236983669MaRDI QIDQ1112343

Robert Finn

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/155320

zbMATH Keywords

energyuniquenessmean curvaturecontact anglecapillary surfacesecond variation of energyprescribed volume

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational principles of physics (49S05)

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The prescribed mean curvature equation in weakly regular domains ⋮ The shape of a liquid surface in a uniformly rotating cylinder in the presence of surface tension ⋮ Effects of surface tension on a floating body in two dimensions ⋮ Exotic capillary tubes ⋮ Instability of certain capillary surfaces ⋮ Exotic flotation theory with new method for floating stability analysis ⋮ Bifurcation of a partially immersed plate between two parallel plates ⋮ Thin static drops with a free attachment boundary ⋮ Exotic containers for capillary surfaces ⋮ General exotic capillary tubes ⋮ Capillary surfaces in and around exotic cylinders with application to stability analysis

Cites Work

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• Stationary partitioning of convex bodies
• Boundary configurations spanning continua of minimal surfaces
• Uniqueness for certain surfaces of prescribed mean curvature
• The symmetry of sessile and pendent drops
• The sessile liquid drop. I: Symmetric case
• Boundary regularity for solutions of a partitioning problem
• A variational problem for constant mean curvature surfaces with free boundary.
• Stability of a Liquid Drop Trapped Between Two Parallel Planes
• Moon Surfaces, and Boundary Behaviour of Capillary Surfaces for Perfect Wetting and Non-Wetting
• The equilibrium configuration of liquid drops.