Rarefied sets at infinity associated with the Schrödinger operator

Journal of inequalities and applications

Gaixian Xue¹ 

关键词: rarefied set;    Schrödinger operator;    Green a-potential;   

DOI  :  10.1186/1029-242X-2014-247

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper gives some criteria for a-rarefied sets at infinity associated with the Schrödinger operator in a cone. Our proofs are based on estimating Green a-potential with a positive measure by connecting with a kind of density of the modified measure. Meanwhile, the geometrical property of this a-rarefied sets at infinity is also considered. By giving an example, we show that the reverse of this property is not true.

【 授权许可】

CC BY