Gradient estimate for eigenfunctions of the operator L on self-shrinkers

被引：0
|
作者：
Zeng, Fan-Qi [1 ]
机构：
[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China
来源：
SCIENCEASIA | 2023年 / 49卷 / 04期
关键词：
eigenfunction; self-shrinker; & INFIN; -Bakry-emery Ricci tensor; gradient estimate; Harnack inequality; LAPLACIAN; THEOREM;
D O I：
10.2306/scienceasia1513-1874.2023.011
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we study gradient estimates for eigenfunctions associated to the operator i on self-shrinkers. As applications, we obtain a Harnack type inequality concerning those eigenfunctions. Besides, we obtain a gradient estimate of the higher eigenfunctions of the operator i on self-shrinkers.
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页码：560 / 567
页数：8
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