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<p>We consider a nonlocal degenerate problem with nonhomogeneous Robin conditions and establish the existence of multiple positive solutions, whose number is exactly twice the number of zeros of the degenerate term. Our approach consists in moving from a variational setting to a one-dimensional fixed-point problem, together with sub- and supersolution techniques and suitable truncations.</p>

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Multiple positive solutions for a class of Robin problems with degenerate nonlocal diffusion

  • 期刊论文

  • 发表日期：

    2026年3月11日

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  • Abdessamad El Katit,
  • Fatna Jaafri

摘要

We consider a nonlocal degenerate problem with nonhomogeneous Robin conditions and establish the existence of multiple positive solutions, whose number is exactly twice the number of zeros of the degenerate term. Our approach consists in moving from a variational setting to a one-dimensional fixed-point problem, together with sub- and supersolution techniques and suitable truncations.