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<p>In this work, we study the local existence of weak solutions for a Kirchhoff-type problem involving the fractional p-Laplacian. Under appropriate assumptions, we obtain the existence of weak solutions by using the Galerkin method combined with the Sobolev inequalities.</p>

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EXISTENCE OF SOLUTIONS FOR THE FRACTIONAL KIRCHHOFF PARABOLIC EQUATION WITH LOGARITHMIC NONLINEARITY

  • 期刊论文

  • 发表日期：

    2025年5月7日

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  • Ihya Talibi,
  • Brahim El Boukari,
  • Jalila El Ghordaf

摘要

In this work, we study the local existence of weak solutions for a Kirchhoff-type problem involving the fractional p-Laplacian. Under appropriate assumptions, we obtain the existence of weak solutions by using the Galerkin method combined with the Sobolev inequalities.