The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions

Ben Andrews, Julie Clutterbuck, Daniel Hauer

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)

    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
    Early online date1 Feb 2021
    DOIs
    Publication statusPublished - Apr 2021

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