Articles

ON SINGULAR EQUATIONS INVOLVING FRACTIONAL LAPLACIAN

  • Ahmed YOUSSFI ,
  • Ghoulam OULD MOHAMED MAHMOUD
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  • 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;
    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

Received date: 2019-02-18

  Revised date: 2019-09-07

  Online published: 2020-11-04

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.

Cite this article

Ahmed YOUSSFI , Ghoulam OULD MOHAMED MAHMOUD . ON SINGULAR EQUATIONS INVOLVING FRACTIONAL LAPLACIAN[J]. Acta mathematica scientia, Series B, 2020 , 40(5) : 1289 -1315 . DOI: 10.1007/s10473-020-0509-7

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