A class of fully nonlinear equations on Riemannian manifolds with negative curvature

被引：0

作者：

Chen, Li ^{[1
]}

He, Yan ^{[1
]}

机构：

[1] Hubei Univ, Fac Math & Stat, Hubei Key Lab Appl Math, Wuhan 430062, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2024年 / 63卷 / 06期

关键词：

Primary; 35J96; 52A39; Secondary; 53A05; BOUNDARY-VALUE-PROBLEMS; 2ND-ORDER ELLIPTIC-EQUATIONS; COMPLETE CONFORMAL METRICS; MONGE-AMPERE-TYPE; YAMABE PROBLEM; DIRICHLET PROBLEM; RICCI CURVATURE; EXISTENCE; FLOW; EIGENVALUES;

D O I：

10.1007/s00526-024-02756-y

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 fully nonlinear equations on Riemannian manifolds with negative curvature which naturally arise in conformal geometry. Moreover, we prove the a priori estimates for solutions to these equations and establish the existence results. Our results can be viewed as an extension of previous results given by Gursky-Viaclovsky and Li-Sheng.

引用

页数：17

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