A class of Hessian quotient equations in Euclidean space

被引：14

作者：

Chen, Xiaojuan ^{[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 DIFFERENTIAL EQUATIONS | 2020年 / 269卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Prescribed Weingarten curvature; Hessian quotient; (eta; k)-convex; Star-shaped; SHAPED COMPACT HYPERSURFACES; DIRICHLET PROBLEM; CURVATURE;

D O I：

10.1016/j.jde.2020.08.048

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 Hessian quotient equations in Euclidean space. Under some sufficient conditions, we obtain an existence result using standard degree theory based on a priori estimates for solutions to Hessian quotient equations. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：11172 / 11194

页数：23

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