Convex hypersurfaces of prescribed Weingarten curvatures
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Sheng, Weimin
Trudinger, Neil
Wang, Xu-Jia
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International Press
Abstract
In this paper we study the existence of closed convex hypersurfaces in the Euclidean space ℝn+1 with a Weingarten curvature prescribed as a function of their unit normal.
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Communications in Analysis and Geometry