The Neumann Problem for Parabolic Hessian Quotient Equations

被引：0
|
作者：
Chen, Chuan Qiang [1 ]
Ma, Xi Nan [2 ]
Zhang, De Kai [3 ]
机构：
[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Peoples R China
[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
[3] Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200433, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2021年 / 37卷 / 09期
基金：
中国博士后科学基金;
关键词：
Parabolic Hessian quotient equation; Neumann problem; translating solution; BOUNDARY-VALUE-PROBLEMS; 2ND-ORDER ELLIPTIC-EQUATIONS; DIRICHLET PROBLEM; YAMABE PROBLEM; CONVEX HYPERSURFACES; CONFORMAL GEOMETRY; REGULARITY; MANIFOLDS; EXISTENCE;
D O I：
10.1007/s10114-021-0340-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the Neumann problem for parabolic Hessian quotient equations. We show that the k-admissible solution of the parabolic Hessian quotient equation exists for all time and converges to the smooth solution of elliptic Hessian quotient equations. Also solutions of the classical Neumann problem converge to a translating solution.
引用
收藏
页码：1313 / 1348
页数：36
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