New estimates for the bottom of the spectrum of Schrodinger operators

被引：1

作者：

Levin, Daniel ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2006年 / 29卷 / 04期

关键词：

bottom of spectrum; F-Sobolev inequality; Schrodinger operator;

D O I：

10.1007/s10455-005-9002-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a bound for the bottom of the negative spectrum of Schrodinger operators on weighted Riemannian manifolds in terms of F-Sobolev inequalities. Also, we show how an estimate for the first negative eigenvalue implies the F-Sobolev inequality.

引用

页码：319 / 328

页数：10

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