New stability results for spheres and Wulff shapes

We prove that a closed convex hypersurface of the Euclidean space with almost constant anisotropic first and second mean curvatures in the Lp-sense is W2,p-close (up to rescaling and translations) to the Wulff shape. We also obtain characterizations of geodesic hyperspheres of space forms improving...

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Bibliographic Details
Main Author: Roth Julien
Format: Article
Language:English
Published: Sciendo 2018-12-01
Series:Communications in Mathematics
Subjects:
Online Access:https://doi.org/10.2478/cm-2018-0012