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
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
收藏
页码:319 / 328
页数:10
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