A class of prescribed shifted curvature problems on the horo-convex hypersurfaces in Hn+1

被引：0
|
作者：
Ji, Zhengchao [1 ,2 ]
机构：
[1] China Jiliang Univ, Dept Math, Hangzhou 310018, Peoples R China
[2] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 541卷 / 02期
关键词：
Hyperbolic spaces; Shifted principal curvature; Horo-convex; CLOSED WEINGARTEN HYPERSURFACES; SHAPED COMPACT HYPERSURFACES; EQUATIONS;
D O I：
10.1016/j.jmaa.2024.128720
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the prescribed shifted curvature problems on horo-convex hypersurfaces in Hn+1. By establishing the C-0, C-1 and C-2 estimates to the solutions of these problems, we obtain some existence theorems to several Monge-Amp & egrave;re type equations. Our results will give solutions to a general class of prescribed shifted curvature problems. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：21
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