On the discrete spectrum of Schrodinger operators with Ahlfors regular potentials in a strip

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:475

Article

Karuhanga, Martin¹ 

[1] Mbarara Univ Sci & Technol, Dept Math, POB 1410, Mbarara, Uganda

关键词: Discrete spectrum;    Schrodinger operators;    Ahlfors regular potential;    Strip;   

DOI  :  10.1016/j.jmaa.2019.03.007

来源: Elsevier

【 摘 要 】

In this paper, quantitative upper estimates for the number of eigenvalues lying below the essential spectrum of Schrodinger operators with potentials generated by Ahlfors regular measures in a strip subject to two different types of boundary conditions (Robin and Dirichlet respectively) are presented. The estimates are presented in terms of weighted L-1 norms and Orlicz norms of the potential. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free