HARNACK INEQUALITY FOR PARABOLIC YAMABE-TYPE EQUATION UNDER INTEGRAL CURVATURE CONDITION ON MANIFOLDS

被引：0
|
作者：
Zhao, Liang [1 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Sch Math, Nanjing 210016, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2025年 / 62卷 / 01期
关键词：
Integral curvature; Yamabe-type equation; Harnack inequality;
D O I：
10.4134/BKMS.b240076
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider Yamabe-type equation ut = triangle u + cu sigma on complete Riemannian manifolds under integral curvature condition, where c, sigma <= 1 are real constants. A new local gradient estimate for positive solutions to this equation is derived and as an application, we give a corresponding Harnack inequality.
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页码：121 / 131
页数：11
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