ON A CLASS OF HESSIAN TYPE EQUATIONS ON RIEMANNIAN MANIFOLDS

被引：6

作者：

Jiao, Heming ^{[1
]}

Liu, Jinxuan ^{[2
]}

机构：

[1] Harbin Inst Technol, Inst Adv Study Math, Sch Math, Harbin 150001, Heilongjiang, Peoples R China

[2] Harbin Inst Technol, Sch Math, Harbin 150001, Heilongjiang, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Key words and phrases; Hessian type equations; (n; 1) Monge-Ampe`re equation; a priori C2 estimate; NONLINEAR ELLIPTIC-EQUATIONS; DIRICHLET PROBLEM; GAUDUCHON METRICS; HYPERSURFACES; REGULARITY; CURVATURE;

D O I：

10.1090/proc/15508

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of Hessian type equations which include the (n - 1) Monge-Ampe`re equation on Riemannian manifolds. The a priori C2 estimates and the existence of solutions are established.

引用

页码：569 / 581

页数：13

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