Convex hypersurfaces of prescribed weingarten curvatures

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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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Sheng, W., Trudinger, N., & Wang, X. J. (2004). Convex hypersurfaces of prescribed weingarten curvatures. Communications in Analysis and Geometry, 12(1–2), 213–232. https://doi.org/10.4310/CAG.2004.v12.n1.a11

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