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<p>In this paper, we establish the existence of weak solutions for a Kirchhoff-type problem driven by a nonlinear nonlocal integrodifferential operator. The analysis is carried out within an appropriate nonlocal functional framework by employing a Young measures approach combined with suitable compactness and variational arguments. Under appropriate assumptions on the Kirchhoff function, we prove the existence of weak solutions. The results contribute to the theoretical analysis of nonlinear nonlocal Kirchhoff-type problems and provide a flexible framework for studying a broad class of integrodifferential equations.</p>

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On Kirchhoff-type problems involving nonlocal integrodifferential operators: a young measures approach

  • 期刊论文

  • 发表日期：

    2026年5月26日

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  • Abdelali Daife,
  • Nezha Kamali,
  • Elhoussine Azroul

摘要

In this paper, we establish the existence of weak solutions for a Kirchhoff-type problem driven by a nonlinear nonlocal integrodifferential operator. The analysis is carried out within an appropriate nonlocal functional framework by employing a Young measures approach combined with suitable compactness and variational arguments. Under appropriate assumptions on the Kirchhoff function, we prove the existence of weak solutions. The results contribute to the theoretical analysis of nonlinear nonlocal Kirchhoff-type problems and provide a flexible framework for studying a broad class of integrodifferential equations.