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On Singular Equations Involving Fractional Laplacian

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Abstract

We study the existence and the regularity of solutions for a class of nonlocal equations involving the fractional Laplacian operator with singular nonlinearity and Radon measure data.

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Authors and Affiliations

  1. National School of Applied Sciences, Sidi Mohamed Ben Abdellah University-Fez, Laboratory of Mathematical Analysis and Applications, My Abdellah Avenue, Road Imouzer, P.O. Box 72 Fès-Principale, 30 000, Fez, Morocco

    Ahmed Youssfi

  2. National School of Applied Sciences, Sidi Mohamed Ben Abdellah University-Fez, My Abdellah Avenue, Road Imouzer, P.O. Box 72 Fès-Principale, 30 000, Fez, Morocco

    Ghoulam Ould Mohamed Mahmoud

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  1. Ahmed Youssfi
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  2. Ghoulam Ould Mohamed Mahmoud
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Correspondence to Ahmed Youssfi.

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Youssfi, A., Ould Mohamed Mahmoud, G. On Singular Equations Involving Fractional Laplacian. Acta Math Sci 40, 1289–1315 (2020). https://doi.org/10.1007/s10473-020-0509-7

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  • DOI: https://doi.org/10.1007/s10473-020-0509-7

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