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<p>This research investigates the existence and multiplicity of nonnegative solutions for a nonlinear Kirchhoff problem with a generalized <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\psi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ψ</mi> </math></EquationSource> </InlineEquation>-Hilfer operator involving a logarithmic nonlinearity and Dirichlet boundary conditions. The approach consists in the application of the Nehari manifold method. Several interesting mathematical difficulties arise due to the generality of the problem considered.</p>

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On a class of Kirchhoff problem involving a generalized \(\psi \)-Hilfer derivative with logarithmic nonlinearity

  • 期刊论文

  • 发表日期：

    2025年9月6日

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  • Arhrrabi Elhoussain,
  • El-Houari Hamza,
  • Leandro S. Tavares,
  • J. Vanterler da C. Sousa

摘要

This research investigates the existence and multiplicity of nonnegative solutions for a nonlinear Kirchhoff problem with a generalized \(\psi \) ψ -Hilfer operator involving a logarithmic nonlinearity and Dirichlet boundary conditions. The approach consists in the application of the Nehari manifold method. Several interesting mathematical difficulties arise due to the generality of the problem considered.