刊名:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
出版年:2016
出版时间:March-April 2016
年:2016
卷:33
期:2
页码:329-336
全文大小:282 K
文摘
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.