A Class of Prescribed Weingarten Curvature Equations for Locally Convex Hypersurfaces with Boundary in Rn+1

被引：0

作者：

He, Yan ^{[1
]}

Tu, Qiang ^{[1
]}

Xiang, Ni ^{[1
]}

机构：

[1] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2024年 / 34卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Prescribed Weingarten curvature; Strictly locally convex; The a priori estimates; NONLINEAR ELLIPTIC-EQUATIONS; DIRICHLET PROBLEM; PLURISUBHARMONICITY; REGULARITY; MANIFOLDS; DUALITY;

D O I：

10.1007/s12220-023-01496-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a class of prescribed Weingarten curvature equations for strictly locally convex hypersurfaces with boundary in Rn+1. Under some sufficient condition, we obtain an existence result by the standard degree theory based on the a prior estimates for the solutions to the prescribed Weingarten curvature equations.

引用

页数：27

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