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A class of Hessian quotient equations in de Sitter space

Part of: Elliptic equations and systems Global differential geometry

Published online by Cambridge University Press:  06 March 2024

Jinyu Gao ,
Guanghan Li  and
Kuicheng Ma
Jinyu Gao
Affiliation:
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China e-mail: jinyugao@whu.edu.cn ghli@whu.edu.cn
Guanghan Li
Affiliation:
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China e-mail: jinyugao@whu.edu.cn ghli@whu.edu.cn
Kuicheng Ma*
Affiliation:
School of Mathematics and Statistics, Shandong University of Technology, Zibo 255000, China
*
e-mail: kchm@sdut.edu.cn
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Abstract

In this paper, we consider the closed spacelike solution to a class of Hessian quotient equations in de Sitter space. Under mild assumptions, we obtain an existence result using standard degree theory based on a priori estimates.

Keywords

Hessian quotientde Sitter spacedegree theorycurvature estimate

MSC classification

Primary: 35J60: Nonlinear elliptic equations 53C42: Immersions (minimal, prescribed curvature, tight, etc.)
Type
Article
Information
Canadian Mathematical Bulletin , First View , pp. 1 - 17
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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