Interior Hessian estimates for a class of Hessian type equations

被引：15

作者：

Chen, Chuanqiang ^{[1
]}

Dong, Weisong ^{[2
]}

Han, Fei ^{[3
]}

机构：

[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Zhejiang, Peoples R China

[2] Tianjin Univ, Sch Math, Tianjin 300354, Peoples R China

[3] Xinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang Uygur, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 62卷 / 02期

关键词：

Primary; 35B45; Secondary; 35J60; ELLIPTIC-EQUATIONS; DIRICHLET PROBLEM; NEUMANN PROBLEM; PLURISUBHARMONICITY; CONVEXITY; EXISTENCE;

D O I：

10.1007/s00526-022-02385-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce some Hessian operators sigma k(eta) and sigma k(eta)/sigma l(eta) by a self-adjoint mapping and the corresponding convex cone (sic)k, and derive interior a priori Hessian estimates for the equ ation sigma k(eta) sigma l(eta) = f (x) in (sic)k with 0 <= l < k < n. As an application we prove Pogorelov type estimates which imply Liouville theorem for such equation.

引用

页数：15

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