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On a class of Kirchhoff problems with nonlocal terms and logarithmic nonlinearity

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Abstract

In this present paper, we concern investigating nonlinear Kirchhoff-type problems subject to Dirichlet boundary conditions, incorporating nonlocal terms and logarithmic nonlinearity in the \(\phi \)-Hilfer fractional spaces with the \(\eta (\cdot )\)-Laplacian operator by means of the do Mountain Pass Theorem, Fountain Theorem and Dual Fountain Theorem.

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Acknowledgements

The authors warmly thank the anonymous referee for her/his useful and nice comments on the paper.

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Authors and Affiliations

  1. Laboratory of Applied Mathematics and Scientific Calculus, Sultan Moulay Slimane University, Béni Mellal, Morocco

    El-Houari Hamza & Arhrrabi Elhoussain

  2. Aerospace Engineering, PPGEA-UEMA, Department of Mathematics, DEMATI-UEMA, São Luís, MA, 65054, Brazil

    J. Vanterler da da C. Sousa

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  1. El-Houari Hamza
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  2. Arhrrabi Elhoussain
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  3. J. Vanterler da da C. Sousa
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Hamza, EH., Elhoussain, A. & Sousa, J.V.d.d.C. On a class of Kirchhoff problems with nonlocal terms and logarithmic nonlinearity. J. Pseudo-Differ. Oper. Appl. 15, 52 (2024). https://doi.org/10.1007/s11868-024-00624-z

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