Hussein Cheikh Ali

collaborators

2 papers

math.AP2023

Fourth order Hardy-Sobolev equations: Singularity and doubly critical exponent

Hussein Cheikh Ali

In dimension $N \geq 5$ , and for $0 < s < 4$ with $γ \in R$ , we study the existence of nontrivial weak solutions for the doubly critical problem $$Δ^2 u-\fracγ{|x|^4}u= |u|^{2_{0…

math.AP2020

The second best constant for the Hardy-Sobolev inequality on manifolds

Hussein Cheikh Ali

We consider the second best constant in the Hardy-Sobolev inequality on a Riemannian manifold. More precisely, we are interested with the existence of extremal functions for this i…