New stability results for spheres and Wulff shapes-Reference-Cited by-同舟云学术

New stability results for spheres and Wulff shapes

Published:2018-12-01 Issue:2 Volume:26 Page:153-167
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Roth Julien¹

Affiliation:

1. Laboratoire d’Analyse et de Mathématiques Appliquées , Université Paris-Est, 5, boulevard Descartes, Cité Descartes, 77454 Marne-la-Vallée cedex 2, France

Abstract

Abstract 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 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 [10] and [11].

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2018-0012

Reference15 articles.

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5. [5] D. Hoffman, D. Spruck: Sobolev and isoperimetric inequalities for Riemannian submanifolds. Comm. Pure Appl. Math. 27 (1974) 715–727.10.1002/cpa.3160270601

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