Star-shaped p-convex hypersurfaces with prescribed curvature in space forms

被引：0
|
作者：
Lu, Yueming [1 ]
Zhong, Shuhui [2 ]
机构：
[1] Harbin Univ Sci & Technol, Coll Sci, 52 Xuefu Rd, Harbin 150080, Heilongjiang, Peoples R China
[2] Tianjin Univ, Sch Math, 135 Yaguan Rd, Tianjin 300354, Jinnan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 540卷 / 02期
关键词：
Curvature estimates; p -convex hypersurfaces; Space forms; DIRICHLET PROBLEM; EQUATIONS; PLURISUBHARMONICITY; MANIFOLDS;
D O I：
10.1016/j.jmaa.2024.128615
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish curvature estimates for p- convex hypersurfaces with prescribed curvature for n/2 <= p <= n - 1 in space forms Nn +1 ( K ) with K = -1, 0, 1. Then the existence of a closed star-shaped p- convex hypersurface with prescribed curvature is obtained by the method of continuity. (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：14
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