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.

引用

页数：21

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