Stable hypersurfaces via the first eigenvalue of the anisotropic Laplacian operator
DOI10.1007/s11565-018-0301-yzbMath1400.53010OpenAlexW2798022700WikidataQ130038268 ScholiaQ130038268MaRDI QIDQ1989488
Henrique Fernandes de Lima, Jonatan Floriano da Silva, Marco Antonio L. Velásquez
Publication date: 26 October 2018
Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11565-018-0301-y
Euclidean spaceJacobi operatorWulff shapeanisotropic mean curvatures\((r, s, F)\)-linear Weingarten surfacesstable closed hypersurfaces
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)
Cites Work
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- Stable hypersurfaces as minima of the integral of an anisotropic mean curvature preserving a linear combination of area and volume
- A new variational characterization of the Wulff shape
- Integral formula of Minkowski type and new characterization of the Wulff shape
- Global rigidity theorems of hypersurfaces
- Stability of hypersurfaces with constant \(r\)-mean curvature
- The Wulff shape minimizes an anisotropic Willmore functional
- On the decay of matrix coefficients for exceptional groups
- A note on the stability of the Wulff shape
- Stability of hypersurfaces with constant \((r+1)\)-th anisotropic mean curvature
- Geometry and stability of surfaces with constant anisotropic mean curvature
- Crystalline variational problems
- Stability of the Wulff shape
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