On Singular Equations Involving Fractional Laplacian

被引：0
作者：
Ahmed Youssfi
Ghoulam Ould Mohamed Mahmoud
机构：
[1] Sidi Mohamed Ben Abdellah University-Fez,National School of Applied Sciences
[2] Laboratory of Mathematical Analysis and Applications,National School of Applied Sciences
[3] Sidi Mohamed Ben Abdellah University-Fez,undefined
来源：
Acta Mathematica Scientia | 2020年 / 40卷
关键词：
fractional Laplacian; singular elliptic equations; measure data; 35R11; 35J62; 46E35; 35A15;
D O I：
暂无
中图分类号：
学科分类号：
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.
引用
收藏
页码：1289 / 1315
页数：26
相关论文
共 70 条
  • [1] Abdellaoui B(2017)Fractional parabolic problems with a nonlocal initial condition Moroccan J Pure Appl Anal 3 116-132
  • [2] Boucherif A(2016)The effect of the Hardy potential in some Calderón-Zygmund properties for the fractional Laplacian J Differential Equations 260 8160-8206
  • [3] Touaoula T M(2016)Optimal results for the fractional heat equation involving the Hardy potential Nonlinear Anal 140 166-207
  • [4] Abdellaoui B(2018)Positive solutions to a fractional equation with singular nonlinearity J Differential Equations 265 1191-1226
  • [5] Medina M(2010)Renormalized solutions of the fractional Laplace equation C R Math Acad Sci Paris 348 759-762
  • [6] Peral I(2015)Semilinear problems for the fractional laplacian with a singular nonlinearity Open Math 13 390-407
  • [7] Primo A(2014)Some remarks on the solvability of non-local elliptic problems with the Hardy potential Commun Contemp Math 16 1350046-273
  • [8] Abdellaoui B(1995)An Annali Scuola Norm Sup Pisa 22 241-380
  • [9] Medina M(2010)-theory of existence and uniqueness of solutions of nonlinear elliptic equations Calc Var Partial Differential Equations 37 363-250
  • [10] Peral I(2017)Semilinear elliptic equations with singular nonlinearities Bull Sci Math 141 223-222
1234567