The Lp Minkowski type problem for a class of mixed Hessian quotient equations

被引：5
|
作者：
Chen, Chuanqiang [1 ]
Xu, Lu [2 ]
机构：
[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Zhejiang, Peoples R China
[2] Hunan Univ, Sch Math, Changsha 410082, Hunan, Peoples R China
来源：
ADVANCES IN MATHEMATICS | 2022年 / 411卷
关键词：
?k-admissible solution; Full Rank Theorem; Inverse convexity; FULLY NONLINEAR EQUATIONS; DIRICHLET PROBLEM; CONVEXITY; PLURISUBHARMONICITY; REGULARITY; MANIFOLDS;
D O I：
10.1016/j.aim.2022.108794
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Existence and uniqueness of the admissible solutions to the Lp Minkowski type problem for mixed Hessian operators are proved. By using the new phenomenon of "inverse convexity" of these operators, we show the existence of the geometric convex solutions by the Full Rank Theorem.(c) 2022 Elsevier Inc. All rights reserved.
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页数：27
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