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Critical p(x)-Kirchhoff Problems Involving Variable Singular Exponent

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Abstract

In this paper, we investigate a class of critical p(x)-Kirchhoff problems with a singular term. A nontrivial positive solution is obtained by combining variational methods with an appropriate truncation argument.

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Acknowledgements

The work is supported by the National Key Research and Development Program of China (2018YFC1508100 and 2018YFC1508106).

Author information

Authors and Affiliations

  1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, People’s Republic of China

    Jiabin Zuo

  2. Mathematics Department, Faculty of Mathematics and Informatics, University of M’sila, M’sila, Algeria

    Abdelhak Mokhtari

  3. Department of Mathematics, Laboratory of Fixed Point Theory and Applications, E.N.S. Kouba, Algiers, Algeria

    Abdelhak Mokhtari

  4. College of Sciences at Dammam, University of Imam Abdulrahman Bin Faisal, Dammam, 31441, Kingdom of Saudi Arabia

    Kamel Saoudi

  5. Basic and Applied Scientific Research Center, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam, 31441, Kingdom of Saudi Arabia

    Kamel Saoudi

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  1. Abdelhak Mokhtari
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  3. Jiabin Zuo
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Each of the authors contributed to each part of this study equally, all authors read and approved the final manuscript.

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Correspondence to Jiabin Zuo.

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Communicated by Majid Gazor.

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Mokhtari, A., Saoudi, K. & Zuo, J. Critical p(x)-Kirchhoff Problems Involving Variable Singular Exponent. Bull. Iran. Math. Soc. 48, 2917–2942 (2022). https://doi.org/10.1007/s41980-021-00676-7

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  • DOI: https://doi.org/10.1007/s41980-021-00676-7

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