Gradient estimate for eigenfunctions of the operator ΔV

被引：1
|
作者：
Barros, Abdenago [1 ]
Silva, Antonio Kelson [2 ]
机构：
[1] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil
[2] Univ Fed Piaui, Dept Matemat, BR-64049550 Teresina, PI, Brazil
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2018年 / 60卷
关键词：
Eigenvalue; m-Bakry-Emery-Ricci tensor; V-Laplacian; Gradient estimate; Harnack inequality;
D O I：
10.1016/j.difgeo.2018.06.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to present a gradient estimate for eigenfunctions associated to the operator Delta(V) on a Riemannian manifold with m-Bakry-Emery-Ricci tensor bounded from below. As a consequence of this estimate we obtain a Harnack type inequality concerning those eigenfunctions. (C) 2018 Elsevier B.V. All rights reserved.
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页码：147 / 155
页数：9
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