Interior curvature bounds for a type of mixed Hessian quotient equations?

被引：3

作者：

Sheng, Weimin ^{[1
]}

Xia, Shucan ^{[1
]}

机构：

[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China

来源：

MATHEMATICS IN ENGINEERING | 2022年 / 5卷 / 02期

关键词：

prescribed curvature problems; mixed Hessian quotient equations; curvature estimates; LOCALLY CONVEX HYPERSURFACES; PRESCRIBED CURVATURE;

D O I：

10.3934/mine.2023040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive interior curvature bounds for admissible solutions of a class of mixed Hessian curvature equations subject to affine Dirichlet data. As an application, we study a Plateau type problem for locally convex Weingarten hypersurfaces.

引用

页码：1 / 27

页数：27

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