THE FUNDAMENTAL GAP FOR A ONE-DIMENSIONAL SCHRODINGER OPERATOR WITH ROBIN BOUNDARY CONDITIONS

被引：2

作者：

Andrews, Ben ^{[1
,2
]}

Clutterbuck, Julie ^{[3
]}

Hauer, Daniel ^{[4
]}

机构：

[1] Australian Natl Univ, Math Sci Inst, Canberra, ACT 2601, Australia

[2] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

[3] Monash Univ, Sch Math, Clayton, Vic 3800, Australia

[4] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 04期

基金：

澳大利亚研究理事会;

关键词：

1ST; 2; EIGENVALUES;

D O I：

10.1090/proc/15140

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For Schrodinger operators on an interval with either convex or symmetric single-well potentials and Robin or Neumann boundary conditions, the gap between the two lowest eigenvalues is minimized when the potential is constant. We also have results for the p-Laplacian.

引用

页码：1481 / 1493

页数：13

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