Communications in Analysis and Geometry

Volume 12 (2004)

Number 1

Convex Hypersurfaces of Prescribed Weingarten Curvatures

Pages: 213 – 232

DOI: http://dx.doi.org/10.4310/CAG.2004.v12.n1.a11

Authors

Weimin Sheng

Neil Trudinger

Xu-Jia Wang

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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