Universal inequalities on complete noncompact smooth metric measure spaces

被引：0
作者：
Yanli Li
Feng Du
机构：
[1] Jingchu University of Technology,School of Electronic and Information Science
[2] Jingchu University of Technology,School of Mathematics and Physics
来源：
Archiv der Mathematik | 2017年 / 109卷
关键词：
Complete noncompact smooth metric measure space; Drifting Laplacian; Universal inequality; Sectional curvature; Weighted Ricci curvature; 35P15; 53C20; 53C42;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we obtain universal inequalities for the eigenvalues of the Dirichlet problem and clamped plate problem of drifting Laplacian on (n+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n+1$$\end{document})-dimensional (n≥4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n\ge 4$$\end{document}) complete noncompact simply connected smooth metric measure spaces which meet some conditions of the sectional curvature and radial weighted Ricci curvature.
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页码：591 / 598
页数：7
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