Convex hypersurfaces of prescribed weingarten curvatures

Weimin Sheng; Neil Trudinger; Xu Jia Wang

doi:10.4310/CAG.2004.v12.n1.a11

Convex hypersurfaces of prescribed weingarten curvatures

Weimin Sheng^*, Neil Trudinger, Xu Jia Wang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

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.

Original language	English
Pages (from-to)	213-232
Number of pages	20
Journal	Communications in Analysis and Geometry
Volume	12
Issue number	1-2
DOIs	https://doi.org/10.4310/CAG.2004.v12.n1.a11
Publication status	Published - 2004

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title = "Convex hypersurfaces of prescribed weingarten curvatures",

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.",

author = "Weimin Sheng and Neil Trudinger and Wang, {Xu Jia}",

year = "2004",

doi = "10.4310/CAG.2004.v12.n1.a11",

language = "English",

volume = "12",

pages = "213--232",

journal = "Communications in Analysis and Geometry",

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AU - Sheng, Weimin

AU - Trudinger, Neil

AU - Wang, Xu Jia

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DO - 10.4310/CAG.2004.v12.n1.a11

M3 - Article

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VL - 12

SP - 213

EP - 232

JO - Communications in Analysis and Geometry

JF - Communications in Analysis and Geometry

IS - 1-2

ER -

Convex hypersurfaces of prescribed weingarten curvatures

Abstract

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