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<p>We use methods of direct optimization as in El Allali and Harrell (Proc Am Math Soc 150:57–587, 2022) to characterize the minimizers of the fundamental gap of Sturm–Liouville operators on an interval, under the constraint that the potential is of single-well form and that the weight function is of single-barrier form, and under similar constraints expressed in terms of convexity.</p>

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On the fundamental eigenvalue gap of Sturm–Liouville operators

  • 期刊论文

  • 发表日期：

    2026年1月8日

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  • Mohammed Ahrami,
  • Zakaria El Allali,
  • Evans M. Harrell II

摘要

We use methods of direct optimization as in El Allali and Harrell (Proc Am Math Soc 150:57–587, 2022) to characterize the minimizers of the fundamental gap of Sturm–Liouville operators on an interval, under the constraint that the potential is of single-well form and that the weight function is of single-barrier form, and under similar constraints expressed in terms of convexity.