5 papers
Rate of convergence of the -torsion function to the distance function
Farid Bozorgnia, Masoud Bayrami-Aminlouee, Khudoyor Mamayusupov
We prove that the Dirichlet -torsion function converges to the distance to the boundary at the rate in the uniform norm, on every bounded domain and with a co…
Boundary Estimates for the Monge-Ampère Equation in the Polygons with Guillemin Boundary Conditions
Masoud Bayrami-Aminlouee, Reza Seyyedali, Mohammad Talebi
We establish a Schauder-type boundary regularity result for a two-dimensional singular Monge--Ampère equation on convex polytopes subject to the Guillemin boundary condition. Our r…
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…
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…
A note on the existence of a unique positive entropy solution to a fractional Laplacian with singular nonlinearities
Masoud Bayrami-Aminlouee, Mahmoud Hesaaraki
In this paper, we prove the existence of a unique positive entropy solution to a fractional Laplacian problem involving nonlinear singular terms and also a non-negative bounded Rad…