Capillary surfaces of constant mean curvature in a right solid cylinder
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Publication:2922204
DOI10.1002/mana.201200301zbMath1304.53008arXiv1410.5757OpenAlexW2154220029MaRDI QIDQ2922204
Publication date: 9 October 2014
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.5757
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Capillarity (surface tension) for incompressible viscous fluids (76D45) Optimization of shapes other than minimal surfaces (49Q10)
Related Items (6)
Mean curvature flow with free boundary in embedded cylinders or cones and uniqueness results for minimal hypersurfaces ⋮ Uniqueness of free boundary minimal hypersurfaces in rotational domains ⋮ Minimal hypersurfaces in the ball with free boundary ⋮ Capillary surfaces in circular cylinders ⋮ Capillary surfaces in circular cylinders ⋮ Singly periodic free boundary minimal surfaces in a solid cylinder of \(\mathbb R^3\)
Cites Work
- A characteristic property of spheres
- Complete constant mean curvature surfaces in Euclidean three-space
- Maximum principles at infinity
- Stability of hypersurfaces with constant mean curvature
- Uniqueness, symmetry, and embeddedness of minimal surfaces
- Uniqueness for certain surfaces of prescribed mean curvature
- On stability of capillary surfaces in a ball
- A symmetry problem in potential theory
- Boundary regularlty for solutions to various capillarity and free boundary problems
- Constant Mean Curvature Discs with Bounded Area
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