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A critical p(x)-biharmonic Kirchhoff type problem with indefinite weight under no flux boundary condition

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Abstract

The aim of this work is to study the existence and the multiplicity of nontrivial weak solutions for a class of fourth order p(x)-Kirchhoff type problem with critical exponent and indefinite weight under no flux boundary condition, by using the concentration-compactness principle for variable exponent and variational arguments.

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Acknowledgements

The authors would like to thank the anonymous referees and the editor for their careful reading and valuable comments and suggestions on this article.

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Author notes

  1. Mohammed Filali, Mohamed Talbi, Najib Tsouli contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, University Mohammed I, Faculty of Sciences, Oujda, Morocco

    Khalid Soualhine, Mohammed Filali & Najib Tsouli

  2. CRMEF, Oujda, Morocco

    Mohamed Talbi

Authors
  1. Khalid Soualhine
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  2. Mohammed Filali
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  3. Mohamed Talbi
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  4. Najib Tsouli
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Correspondence to Khalid Soualhine.

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Soualhine, K., Filali, M., Talbi, M. et al. A critical p(x)-biharmonic Kirchhoff type problem with indefinite weight under no flux boundary condition. Bol. Soc. Mat. Mex. 28, 22 (2022). https://doi.org/10.1007/s40590-022-00419-6

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