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math.AP2020★ 2 cited
Nonlocal Lazer-McKenna type problem perturbed by the Hardy's potential and its parabolic equivalence
Masoud Bayrami-Aminlouee, Mahmoud Hesaaraki, Mohamed Karim Hamdani +1
In this paper, we study the effect of Hardy potential on the existence or non-existence of solutions to a fractional Laplacian problem involving a singular nonlinearity. Also, we m…
math.AP2020★ 4 cited
A fractional Laplacian problem with mixed singular nonlinearities and nonregular data
Masoud Bayrami-Aminlouee, Mahmoud Hesaaraki
In this note, we study the existence and uniqueness of a positive solution to a doubly singular fractional problem with nonregular data. Besides, for some cases, we will show the e…