Stability of capillary hypersurfaces with planar boundaries

DOI10.1007/s12220-015-9674-7zbMath1362.53017OpenAlexW2230679700MaRDI QIDQ522466

Haizhong Li, Changwei Xiong

Publication date: 13 April 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-015-9674-7

zbMATH Keywords

stabilityplanar boundarycapillary hypersurfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Optimization of shapes other than minimal surfaces (49Q10)

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Stability of unduloid bridges with free boundary in a Euclidean slab, Recent rigidity results for graphs with prescribed mean curvature, Stable constant mean curvature surfaces with free boundary in slabs, On stable capillary hypersurfaces with planar boundaries, Stable anisotropic capillary hypersurfaces in a wedge, Stability of capillary hypersurfaces in a manifold with density, Index estimates for free boundary constant mean curvature surfaces, Uniqueness of stable capillary hypersurfaces in a ball, Stable capillary hypersurfaces supported on a horosphere in the hyperbolic space

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