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Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse’s theory

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Abstract

In the present paper, we study the existence of infinitely many solutions for \(p(\textrm{x},\cdot )\)-fractional Kirchhoff-type elliptic equation involving logarithmic-type nonlinearities. Our approach is based on the computation of the critical groups in the nonlinear fractional elliptic problem of type \(p(\textrm{x},\cdot )\)-Kirchhoff, the Morse relation combined with variational methods.

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Author notes

  1. Abdesslam Ouaziz and Ahmed Aberqi have contributed equally to this work.

Authors and Affiliations

  1. Mathematics, Laboratory LAMA, Faculty of Sciences Dhar Elmahraz, Sidi Mohamed Ben Abdellah University, 30000, Fez, Morocco

    Abdesslam Ouaziz

  2. Mathematics, Laboratory LAMA, National School of Applied Sciences, 30000, Fez, Morocco

    Ahmed Aberqi

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  1. Abdesslam Ouaziz
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  2. Ahmed Aberqi
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Correspondence to Abdesslam Ouaziz.

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Ouaziz, A., Aberqi, A. Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse’s theory. Bol. Soc. Mat. Mex. 30, 10 (2024). https://doi.org/10.1007/s40590-023-00580-6

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