Stability of the Wulff shape with respect to anisotropic curvature functionals
| Autor: | Scheuer, Julian, Zhang, Xuwen |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | J. Funct. Anal. 288, no. 3, art. 110715, (2025) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jfa.2024.110715 |
| Popis: | For a function $f$ which foliates a one-sided neighbourhood of a closed hypersurface $M$, we give an estimate of the distance of $M$ to a Wulff shape in terms of the $L^{p}$-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. Comment: 24 pages |
| Databáze: | arXiv |
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