Estimates for the First Eigenvalue of L\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathfrak {L}}$$\end{document}-Operator on Self-shrinkers

被引：0
作者：
Yecheng Zhu
机构：
[1] Anhui University of Technology,Department of Applied Mathematics
[2] University of Science and Technology of China,Department of Mathematics
[3] Nankai University,Chern Institute of Mathematics
来源：
Results in Mathematics | 2021年 / 76卷 / 4期
关键词：
-operator; gradient estimate; self-shrinker; eigenvalue; 53C40; 53C44;
D O I：
10.1007/s00025-021-01533-z
中图分类号：
学科分类号：
摘要：
In this paper, we investigate the Dirichlet and Neumann eigenvalue problems in bounded domains on a complete self-shrinker, then we get some lower bound estimates for the first non-zero eigenvalue of L\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathfrak {L}}$$\end{document}.
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