The Neumann problem of Hessian quotient equations

Chuanqiang Chen; Dekai Zhang

doi:10.1142/S1664360720500186

The Neumann problem of Hessian quotient equations

Chuanqiang Chen
, Dekai Zhang

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

10 Scopus citations

Abstract

In this paper, we obtain some important inequalities of Hessian quotient operators, and global C2 estimates of the Neumann problem of Hessian quotient equations. By the method of continuity, we establish the existence theorem of k-admissible solutions of the Neumann problem of Hessian quotient equations.

Original language	English
Article number	2050018
Journal	Bulletin of Mathematical Sciences
Volume	11
Issue number	1
DOIs	https://doi.org/10.1142/S1664360720500186
State	Published - Apr 2021
Externally published	Yes

Keywords

Hessian quotient equation
Neumann problem
k -admissible solution

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10.1142/S1664360720500186

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title = "The Neumann problem of Hessian quotient equations",

abstract = "In this paper, we obtain some important inequalities of Hessian quotient operators, and global C2 estimates of the Neumann problem of Hessian quotient equations. By the method of continuity, we establish the existence theorem of k-admissible solutions of the Neumann problem of Hessian quotient equations.",

keywords = "Hessian quotient equation, Neumann problem, k -admissible solution",

author = "Chuanqiang Chen and Dekai Zhang",

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month = apr,

doi = "10.1142/S1664360720500186",

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AU - Zhang, Dekai

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AB - In this paper, we obtain some important inequalities of Hessian quotient operators, and global C2 estimates of the Neumann problem of Hessian quotient equations. By the method of continuity, we establish the existence theorem of k-admissible solutions of the Neumann problem of Hessian quotient equations.

KW - Hessian quotient equation

KW - Neumann problem

KW - k -admissible solution

UR - https://www.scopus.com/pages/publications/85091812328

U2 - 10.1142/S1664360720500186

DO - 10.1142/S1664360720500186

M3 - 文章

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SN - 1664-3607

VL - 11

JO - Bulletin of Mathematical Sciences

JF - Bulletin of Mathematical Sciences

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The Neumann problem of Hessian quotient equations

Abstract

Keywords

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