Convexity of capillary surfaces in the outer space
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Publication:1170066
DOI10.1007/BF01393817zbMath0496.76005OpenAlexW1990517492MaRDI QIDQ1170066
Wu-Hsiung U. Huang, Jin Tzu Chen
Publication date: 1982
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142911
contact anglearbitrary cross- sectioncapillary surface curvaturecontained in vertical tubeconvexity of tube cross-section implies convexity of capillary surfaceGaussian curvature positive
Surfaces in Euclidean and related spaces (53A05) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)
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A minimum principle for a soap film problem in \({\mathbb{R}^{2}}\) ⋮ A sharp height estimate for the spacelike constant mean curvature graph in the Lorentz-Minkowski space ⋮ Critical points of solutions to a kind of linear elliptic equations in multiply connected domains ⋮ Critical points of solutions to a quasilinear elliptic equation with nonhomogeneous Dirichlet boundary conditions ⋮ C^{1,\alpha} Regularity of convex hypersurfaces with prescribed curvature measures ⋮ On some estimates for a fluid surface in a short capillary tube ⋮ Convexity of the solutions to the constant mean curvature spacelike surface equation in the Lorentz-Minkowski space ⋮ Monotone properties of the eigenfunction of Neumann problems ⋮ A characterization of hemispheres ⋮ Counterexample to the convexity of level sets of solutions to the mean curvature equation ⋮ Uniqueness of critical points of solutions to the mean curvature equation with Neumann and Robin boundary conditions ⋮ Critical points of solutions for the mean curvature equation in strictly convex and nonconvex domains ⋮ Level sets of Gauss curvature in surfaces of constant mean curvature
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