Nonlocal Lazer–McKenna-type problem perturbed by the Hardy’s potential and its parabolic equivalence

Abstract In this paper, we study the effect of Hardy potential on the existence or nonexistence of solutions to the following fractional problem involving a singular nonlinearity: { ( − Δ ) s u = λ u | x | 2 s + μ u γ + f in  Ω , u > 0 in  Ω , u = 0 in  ( R N ∖ Ω ) . $$\begin{aligned} \textstyle\...

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Bibliographic Details
Main Authors: Masoud Bayrami-Aminlouee, Mahmoud Hesaaraki, Mohamed Karim Hamdani, Nguyen Thanh Chung
Format: Article
Language:English
Published: SpringerOpen 2021-07-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-021-01545-2