Singularity and decay estimates for the conformal k-hessian equation via Liouville-type theorems

被引：3

作者：

Huang, Yong ^{[1
]}

Xu, Lu ^{[1
]}

机构：

[1] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

来源：

ARCHIV DER MATHEMATIK | 2009年 / 93卷 / 02期

关键词：

Conformal k-hessian equation; Regularity; Liouville-type theorem; NONLINEAR ELLIPTIC-EQUATIONS; GEOMETRY; EIGENVALUES; HARNACK; YAMABE;

D O I：

10.1007/s00013-009-0022-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study some connections between Liouville type theorems and local properties of nonnegative solutions to conformal k-hessian equations by making use of an elementary lemma for all positive functions in Li and Zhang (J. Anal. Math. 90 (2003), 27-87) and related Liouville type theorems in Li and Li (Acta. Math. 195 (2005), 117-154).

引用

页码：175 / 179

页数：5

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