Interior Hessian estimates for a class of Hessian type equations

被引：13
|
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.
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页数：15
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