Acta mathematica scientia,Series B ›› 2020, Vol. 40 ›› Issue (5): 1289-1315.doi: 10.1007/s10473-020-0509-7

• Articles • Previous Articles     Next Articles

ON SINGULAR EQUATIONS INVOLVING FRACTIONAL LAPLACIAN

Ahmed YOUSSFI1, Ghoulam OULD MOHAMED MAHMOUD2   

  1. 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:2019-02-18 Revised:2019-09-07 Online:2020-10-25 Published:2020-11-04
  • Contact: Ahmed YOUSSFI E-mail:ahmed.youssfi@gmail.com,ahmed.youssfi@usmba.ac.ma

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.

Key words: fractional Laplacian, singular elliptic equations, measure data

CLC Number: 

  • 35R11
Trendmd