Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604094 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2016 | 8 Pages |
Abstract
We give a new proof of a classical uniqueness theorem of Alexandrov [4] using the weak uniqueness continuation theorem of Bers–Nirenberg [8]. We prove a version of this theorem with the minimal regularity assumption: the spherical Hessians of the corresponding convex bodies as Radon measures are nonsingular.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Pengfei Guan, Zhizhang Wang, Xiangwen Zhang,