Lipschitz Continuous Hypersurfaces with Prescribed Curvature and Asymptotic Boundary in Hyperbolic Space

Zhenan Sui; Wei Sun

doi:10.1093/imrn/rnab244

Lipschitz Continuous Hypersurfaces with Prescribed Curvature and Asymptotic Boundary in Hyperbolic Space

Zhenan Sui
, Wei Sun^*

^*Corresponding author for this work

School of Mathematics

ShanghaiTech University

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

3 Scopus citations

Abstract

We prove the existence of a complete locally Lipschitz continuous hypersurface in weak sense with prescribed Weingarten curvature and asymptotic boundary at infinity in hyperbolic space under certain assumptions.

Original language	English
Pages (from-to)	19175-19221
Number of pages	47
Journal	International Mathematics Research Notices
Volume	2022
Issue number	24
DOIs	https://doi.org/10.1093/imrn/rnab244
State	Published - 1 Dec 2022

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title = "Lipschitz Continuous Hypersurfaces with Prescribed Curvature and Asymptotic Boundary in Hyperbolic Space",

abstract = "We prove the existence of a complete locally Lipschitz continuous hypersurface in weak sense with prescribed Weingarten curvature and asymptotic boundary at infinity in hyperbolic space under certain assumptions.",

author = "Zhenan Sui and Wei Sun",

year = "2022",

month = dec,

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doi = "10.1093/imrn/rnab244",

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AU - Sui, Zhenan

AU - Sun, Wei

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N2 - We prove the existence of a complete locally Lipschitz continuous hypersurface in weak sense with prescribed Weingarten curvature and asymptotic boundary at infinity in hyperbolic space under certain assumptions.

AB - We prove the existence of a complete locally Lipschitz continuous hypersurface in weak sense with prescribed Weingarten curvature and asymptotic boundary at infinity in hyperbolic space under certain assumptions.

UR - https://www.scopus.com/pages/publications/85135873078

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DO - 10.1093/imrn/rnab244

M3 - 文章

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SN - 1073-7928

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SP - 19175

EP - 19221

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 24

ER -

Lipschitz Continuous Hypersurfaces with Prescribed Curvature and Asymptotic Boundary in Hyperbolic Space

Abstract

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