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<p>We study a nonlocal Choquard-logarithmic problem in the setting of fractional Musielak-Sobolev spaces, a recently introduced framework by Sousa et al. The Choquard nonlinearity is expressed in terms of a Jacobian determinant, a novel formulation that enhances the problem’s generality and unifies several existing models in the literature. By employing variational methods, Ekeland’s variational principle, and a newly established version of the Hardy-Littlewood-Sobolev inequality (proved in this work), we prove the existence and multiplicity of solutions for this problem.</p>

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On a Study of Generalized Choquard-Logarithmic Problem in Fractional Musielak Spaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月19日

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  • Giovane Ferreira,
  • El-Houari Hamza,
  • J. Vanterler da C. Sousa

摘要

We study a nonlocal Choquard-logarithmic problem in the setting of fractional Musielak-Sobolev spaces, a recently introduced framework by Sousa et al. The Choquard nonlinearity is expressed in terms of a Jacobian determinant, a novel formulation that enhances the problem’s generality and unifies several existing models in the literature. By employing variational methods, Ekeland’s variational principle, and a newly established version of the Hardy-Littlewood-Sobolev inequality (proved in this work), we prove the existence and multiplicity of solutions for this problem.