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<p>We prove a bifurcation result for a Dirichlet problem driven by the fractional <i>p</i>-Laplacian (either degenerate or singular), in which the reaction is the difference between two sublinear powers of the unknown. In our argument, a fundamental role is played by a Sobolev vs. Hölder minima principle, already known for the degenerate case, which here we extend to the singular case with a simpler proof.</p>

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On a doubly sublinear fractional p-Laplacian equation

  • 期刊论文

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  • 发表日期：

    2025年11月8日

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  • Antonio Iannizzotto,
  • Sunra Mosconi

摘要

We prove a bifurcation result for a Dirichlet problem driven by the fractional p-Laplacian (either degenerate or singular), in which the reaction is the difference between two sublinear powers of the unknown. In our argument, a fundamental role is played by a Sobolev vs. Hölder minima principle, already known for the degenerate case, which here we extend to the singular case with a simpler proof.