Stability of anisotropic capillary surfaces between two parallel planes

DOI10.1007/s00526-005-0336-7zbMath1095.76019OpenAlexW1996305402MaRDI QIDQ818841

Miyuki Koiso, Bennett Palmer

Publication date: 21 March 2006

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-005-0336-7

zbMATH Keywords

Delaunaysecond variation formulaWulff surfaces

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items

Stability of hypersurfaces of constant mean curvature with free boundary in two parallel hyperplanes, Stable hypersurfaces as minima of the integral of an anisotropic mean curvature preserving a linear combination of area and volume, Anisotropic capillary surfaces with wetting energy, Compact anisotropic stable hypersurfaces with free boundary in convex solid cones, Stable anisotropic capillary hypersurfaces in a wedge, Equilibrium shapes of cylindrical rotating liquid drops, Alexandrov's theorem for anisotropic capillary hypersurfaces in the half-space, Equilibria for anisotropic surface energies with wetting and line tension, Anisotropic isoparametric hypersurfaces in Euclidean spaces, Hypersurfaces with constant anisotropic mean curvature in Riemannian manifolds, Very singular diffusion equations: second and fourth order problems, Hypersurfaces with null higher order anisotropic mean curvature, Axially symmetric volume constrained anisotropic mean curvature flow, Anisotropic version of a theorem of H. Hopf, Surfaces of constant anisotropic mean curvature with free boundary in revolution surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
• Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern.
• The relative differential geometry of nonparametric hypersurfaces
• Elliptic partial differential equations of second order
• On surfaces of prescribed \(F\)-mean curvature.
• Geometry and stability of surfaces with constant anisotropic mean curvature
• A variational problem for constant mean curvature surfaces with free boundary.
• Stability of a Liquid Drop Trapped Between Two Parallel Planes
• Crystalline variational problems
• Stability of the Wulff shape