ON SINGULAR EQUATIONS INVOLVING FRACTIONAL LAPLACIAN

doi:10.1007/s10473-020-0509-7

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

ON SINGULAR EQUATIONS INVOLVING FRACTIONAL LAPLACIAN

Ahmed YOUSSFI¹, Ghoulam OULD MOHAMED MAHMOUD²

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. 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/Abstract

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

Ahmed YOUSSFI, Ghoulam OULD MOHAMED MAHMOUD. ON SINGULAR EQUATIONS INVOLVING FRACTIONAL LAPLACIAN[J]. 数学物理学报(英文版), 2020, 40(5): 1289-1315.

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

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ON SINGULAR EQUATIONS INVOLVING FRACTIONAL LAPLACIAN

ON SINGULAR EQUATIONS INVOLVING FRACTIONAL LAPLACIAN

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