The fundamental gap for a one-dimensional schrödinger operator with robin boundary conditions

Ben Andrews, Julie Clutterbuck, Daniel Hauer

Research output: Contribution to journalArticleResearchpeer-review

Abstract

For Schrödinger 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.

Original languageEnglish
Pages (from-to)1481-1493
Number of pages13
JournalProceedings of the American Mathematical Society
Volume149
Issue number4
DOIs
Publication statusPublished - Apr 2021

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