Sharp geometrical properties of a -rarefied sets via fixed point index for the Schrödinger operator equations

Fixexd point theory and applications

Zhiqiang Li¹  Beatriz Ychussie² 

[1] Institute of Management Science and Engineering, Henan University, Kaifeng, China;Mathematics Institute, Roskilde University, Roskilde, Denmark

关键词: Schrödinger operator equations;    rarefied set;    Poisson-Sch integral;    Green-Sch potential;   

DOI  :  10.1186/s13663-015-0342-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we use the theory of fixed point index for the Schrödinger operator equations to obtain a geometrical property of a-rarefied sets at infinity on cones. Meanwhile, we give an example to show that the reverse of this property is not true.

【 授权许可】

CC BY