Eigenvalue inequalities for Schrodinger operators on unbounded Lipschitz domains

被引：4

作者：

Behrndt, Jussi ^{[1
]}

Rohleder, Jonathan ^{[2
]}

Stadler, Simon ^{[1
]}

机构：

[1] Graz Univ Technol, Inst Angew Math, Steyrergasse 30, A-8010 Graz, Austria

[2] Stockholms Univ, Matemat Inst, S-10691 Stockholm, Sweden

来源：

JOURNAL OF SPECTRAL THEORY | 2018年 / 8卷 / 02期

基金：

奥地利科学基金会;

关键词：

Eigenvalue inequality; Schrodinger operator; Dirichlet; Neumann and Robin boundary condition; unbounded Lipschitz domain; elliptic differential operator; DIRICHLET;

D O I：

10.4171/JST/203

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a Schrodinger differential expression on an exterior Lipschitz domain we prove strict inequalities between the eigenvalues of the corresponding selfadjoint operators subject to Dirichlet and Neumann or Dirichlet and mixed boundary conditions, respectively. Moreover, we prove a strict inequality between the eigenvalues of two different elliptic differential operators on the same domain with Dirichlet boundary conditions.

引用

页码：493 / 508

页数：16

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