Research articles
ScienceAsia 49 (2023):ID 560-567 |doi:
10.2306/scienceasia1513-1874.2023.011
Gradient estimate for eigenfunctions of the operator on
self-shrinkers
Fan-Qi Zeng
ABSTRACT: In this paper, we study gradient estimates for eigenfunctions associated to the operator L 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 L on self-shrinkers.
Download PDF
56 Downloads 695 Views
a |
School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000 China |
* Corresponding author, E-mail: zengfq@xynu.edu.cn
Received 6 Jul 2022, Accepted 22 Nov 2022
|