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Existence Results for Fractional p(x, .)-Laplacian Problem Via the Nehari Manifold Approach

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A Correction to this article was published on 17 October 2020

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Abstract

In the present paper, we study the existence of two non-negative solutions for a class of fractional p(x, .)-Laplacian problems with non-negative weight functions. The main tool is the Nehari manifold approach. Moreover, under some suitable assumptions, continuous and compact embeddings results are established.

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Acknowledgements

The author would like to thank the referee for their suggestions and helpful comments which have improved the presentation of the original manuscript.

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Authors and Affiliations

  1. Sidi Mohamed Ben Abdellah University, Faculty of Sciences Dhar El Mahraz, Laboratory of Mathematical Analysis and Applications, Fez, Morocco

    E. Azroul, A. Benkirane, A. Boumazourh & M. Shimi

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  1. E. Azroul
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  2. A. Benkirane
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  3. A. Boumazourh
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  4. M. Shimi
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Correspondence to M. Shimi.

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Azroul, E., Benkirane, A., Boumazourh, A. et al. Existence Results for Fractional p(x, .)-Laplacian Problem Via the Nehari Manifold Approach. Appl Math Optim 84, 1527–1547 (2021). https://doi.org/10.1007/s00245-020-09686-z

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