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<p>This paper investigates the existence of weak solutions for a class of fractional nonlocal singular problems involving the fractional double-phase operator. The approach combines generalized Sobolev spaces with variable exponents, the Galerkin approximation method, and the theory of Young measures.</p>

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Fractional double-phase elliptic equations involving variable exponents and critical hardy potentials

  • 期刊论文

  • 发表日期：

    2026年1月23日

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  • Hasna Moujani,
  • Abderrazak Kassidi,
  • Ali El Mfadel,
  • M’hamed El Omari

摘要

This paper investigates the existence of weak solutions for a class of fractional nonlocal singular problems involving the fractional double-phase operator. The approach combines generalized Sobolev spaces with variable exponents, the Galerkin approximation method, and the theory of Young measures.