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

^*Corresponding author for this work

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

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

5 Scopus citations

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.

Original language	English
Pages (from-to)	159-171
Number of pages	13
Journal	Manuscripta Mathematica
Volume	153
Issue number	1-2
DOIs	https://doi.org/10.1007/s00229-016-0877-4
State	Published - 1 May 2017
Externally published	Yes

Keywords

35B45
35J60

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10.1007/s00229-016-0877-4

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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",

note = "Publisher Copyright: {\textcopyright} 2016, Springer-Verlag Berlin Heidelberg.",

year = "2017",

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doi = "10.1007/s00229-016-0877-4",

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T1 - The interior gradient estimate of prescribed Hessian quotient curvature equations

AU - Chen, Chuanqiang

AU - Xu, Lu

AU - Zhang, Dekai

PY - 2017/5/1

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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

Abstract

Keywords

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