New stability results for spheres and Wulff shapes
Communications in Mathematics (2018)
- Volume: 26, Issue: 2, page 153-167
- ISSN: 1804-1388
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topRoth, Julien. "New stability results for spheres and Wulff shapes." Communications in Mathematics 26.2 (2018): 153-167. <http://eudml.org/doc/294422>.
@article{Roth2018,
abstract = {We prove that a closed convex hypersurface of the Euclidean space with almost constant anisotropic first and second mean curvatures in the $L^p$-sense is $W^\{2,p\}$-close (up to rescaling and translations) to the Wulff shape. We also obtain characterizations of geodesic hyperspheres of space forms improving those of [Ro1] and [Ro].},
author = {Roth, Julien},
journal = {Communications in Mathematics},
keywords = {Hypersurfaces; Anisotropic mean curvatures; Wulff Shape; Almost umibilcal},
language = {eng},
number = {2},
pages = {153-167},
publisher = {University of Ostrava},
title = {New stability results for spheres and Wulff shapes},
url = {http://eudml.org/doc/294422},
volume = {26},
year = {2018},
}
TY - JOUR
AU - Roth, Julien
TI - New stability results for spheres and Wulff shapes
JO - Communications in Mathematics
PY - 2018
PB - University of Ostrava
VL - 26
IS - 2
SP - 153
EP - 167
AB - We prove that a closed convex hypersurface of the Euclidean space with almost constant anisotropic first and second mean curvatures in the $L^p$-sense is $W^{2,p}$-close (up to rescaling and translations) to the Wulff shape. We also obtain characterizations of geodesic hyperspheres of space forms improving those of [Ro1] and [Ro].
LA - eng
KW - Hypersurfaces; Anisotropic mean curvatures; Wulff Shape; Almost umibilcal
UR - http://eudml.org/doc/294422
ER -
References
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