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<p>We analyze nonlocal Kirchhoff systems in fractional Musielak–Sobolev spaces. By means of Ricceri’s theorem, it is established that the system possesses weak solutions under fairly general conditions for the modular, the Kirchhoff functions, and the nonlinearities. Additionally, a case of growth of the logarithmic type is presented to visualize the outcome.</p>

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Fractional Kirchhoff systems in Musielak–Sobolev spaces: multiple weak solutions

  • 期刊论文

  • 发表日期：

    2026年2月4日

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  • Mohammed Allou,
  • Elhoussine Azroul,
  • Mohammed Srati

摘要

We analyze nonlocal Kirchhoff systems in fractional Musielak–Sobolev spaces. By means of Ricceri’s theorem, it is established that the system possesses weak solutions under fairly general conditions for the modular, the Kirchhoff functions, and the nonlinearities. Additionally, a case of growth of the logarithmic type is presented to visualize the outcome.