数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (5): 1289-1315.doi: 10.1007/s10473-020-0509-7

• 论文 • 上一篇    下一篇

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
  • 收稿日期:2019-02-18 修回日期:2019-09-07 出版日期:2020-10-25 发布日期:2020-11-04
  • 通讯作者: Ahmed YOUSSFI E-mail:ahmed.youssfi@gmail.com,ahmed.youssfi@usmba.ac.ma
  • 作者简介:Ghoulam OULD MOHAMED MAHMOUD,E-mail:ghoulam.ouldmohamedmahmoud@usmba.ac.ma

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

摘要: 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.

关键词: fractional Laplacian, singular elliptic equations, measure data

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

中图分类号: 

  • 35R11