Stability of hypersurfaces with constant \((r+1)\)-th anisotropic mean curvature

zbMath1181.53052arXiv0801.3561MaRDI QIDQ2654680

Yijun He, Haizhong Li

Publication date: 20 January 2010

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3561

zbMATH Keywords

hypersurfacesWulff shape\(r\)-th mean curvature functionintrinsic Hessian

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (9)

Inverse anisotropic mean curvature flow and a Minkowski type inequality ⋮ Stable hypersurfaces as minima of the integral of an anisotropic mean curvature preserving a linear combination of area and volume ⋮ Some new characterizations of the Wulff shape ⋮ On almost stable linear Weingarten hypersurfaces ⋮ Alexandrov's theorem for anisotropic capillary hypersurfaces in the half-space ⋮ Anisotropic isoparametric hypersurfaces in Euclidean spaces ⋮ A volume-preserving anisotropic mean curvature type flow ⋮ Stable hypersurfaces via the first eigenvalue of the anisotropic Laplacian operator ⋮ Symmetrization with respect to mixed volumes

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