Stable hypersurfaces as minima of the integral of an anisotropic mean curvature preserving a linear combination of area and volume
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Publication:379200
DOI10.1007/s00209-013-1149-6zbMath1278.53061OpenAlexW2024954739MaRDI QIDQ379200
Antonio Gervásio Colares, Jonatan Floriano da Silva
Publication date: 11 November 2013
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-013-1149-6
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)
Related Items (7)
Rigidity of complete hypersurfaces in the Euclidean space via anisotropic mean curvatures ⋮ Some new characterizations of the Wulff shape ⋮ On almost stable linear Weingarten hypersurfaces ⋮ Stable compact spacelike hypersurfaces in the de Sitter space as maxima of a linear combination of area and volume ⋮ Upper bounds for the first eigenvalue of a Jacobi type operator via anisotropic mean curvatures ⋮ Stable hypersurfaces via the first eigenvalue of the anisotropic Laplacian operator ⋮ \((r, k, a, b)\)-stability of hypersurfaces in space forms
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