Stability of the Wulff shape with respect to anisotropic curvature functionals
Abstract: For a function f which foliates a one-sided neighborhood of a closed hypersurface M, we give an estimate of the distance of M to a Wulff shape in terms of the
-norm of the traceless F-Hessian of f, where F is the support function of the Wulff shape. This theorem is applied to prove quantitative stability results for the anisotropic Heintze-Karcher inequality, the anisotropic Alexandrov problem, as well as for the anisotropic overdetermined boundary value problem of Serrin-type
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Notes
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Journal of functional analysis. - 288, 3 (2025) , 110715, ISSN: 1096-0783
- Event
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Veröffentlichung
- (where)
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Freiburg
- (who)
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Universität
- (when)
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2024
- Creator
- DOI
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10.1016/j.jfa.2024.110715
- URN
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urn:nbn:de:bsz:25-freidok-2603141
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:24 AM CEST
Data provider
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Associated
- Scheuer, Julian
- Zhang, Xuwen
- Universität
Time of origin
- 2024
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