The interior gradient estimate of prescribed Hessian quotient curvature equations

Chuanqiang Chen; Lu Xu; Dekai Zhang

doi:10.1007/s00229-016-0877-4

The interior gradient estimate of prescribed Hessian quotient curvature equations

Chuanqiang Chen
, Lu Xu^*
, Dekai Zhang

^*此作品的通讯作者

Zhejiang University of Technology
Hunan University
University of Science and Technology of China

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

In this paper, we establish the interior gradient estimate of k-admissible solutions of prescribed Hessian quotient curvature equations σk(aij)σl(aij)=f(x) with 0 ≤ l< k≤ n. As an application, we get a Liouville type theorem.

源语言	英语
页（从-至）	159-171
页数	13
期刊	Manuscripta Mathematica
卷	153
期	1-2
DOI	https://doi.org/10.1007/s00229-016-0877-4
出版状态	已出版 - 1 5月 2017
已对外发布	是

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title = "The interior gradient estimate of prescribed Hessian quotient curvature equations",

abstract = "In this paper, we establish the interior gradient estimate of k-admissible solutions of prescribed Hessian quotient curvature equations σk(aij)σl(aij)=f(x) with 0 ≤ l< k≤ n. As an application, we get a Liouville type theorem.",

keywords = "35B45, 35J60",

author = "Chuanqiang Chen and Lu Xu and Dekai Zhang",

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year = "2017",

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AU - Xu, Lu

AU - Zhang, Dekai

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N2 - In this paper, we establish the interior gradient estimate of k-admissible solutions of prescribed Hessian quotient curvature equations σk(aij)σl(aij)=f(x) with 0 ≤ l< k≤ n. As an application, we get a Liouville type theorem.

AB - In this paper, we establish the interior gradient estimate of k-admissible solutions of prescribed Hessian quotient curvature equations σk(aij)σl(aij)=f(x) with 0 ≤ l< k≤ n. As an application, we get a Liouville type theorem.

KW - 35B45

KW - 35J60

UR - https://www.scopus.com/pages/publications/84981210798

U2 - 10.1007/s00229-016-0877-4

DO - 10.1007/s00229-016-0877-4

M3 - 文章

AN - SCOPUS:84981210798

SN - 0025-2611

VL - 153

SP - 159

EP - 171

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

IS - 1-2

ER -

The interior gradient estimate of prescribed Hessian quotient curvature equations

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