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.

引用

页码：147 / 155

页数：9

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