Hussein Cheikh Ali

collaborators

2 papers

math.AP2025

Least-energy solutions of the BrÃ©zis-Nirenberg problem in the non-coercive case in dimension $3$

Hussein Cheikh Ali, Bruno Premoselli

Let $I^c ◯$ be a bounded, smooth domain of $R^{n}, n \geq 3$ and $I^» \geq 0$ . We consider the celebrated BrÃ©zis-Nirenberg problem: \begin{equation}\label{eq:critlambda:abs} \tag{…

math.AP2025

Compactness for the Hardy-Sobolev equation on manifolds

Hussein Cheikh Ali, Saikat Mazumdar

Let $(M, g)$ be a closed Riemannian manifold of dimension $n \geq 3$ , and let $h \in C^{1} (M)$ be such that the operator $I^_{g} + h$ is coercive. Fix $x_{0} \in M$ and $s \in (0, 2)$ . W…

Least-energy solutions of the BrÃ©zis-Nirenberg problem in the non-coercive case in dimension 3

Compactness for the Hardy-Sobolev equation on manifolds

Least-energy solutions of the BrÃ©zis-Nirenberg problem in the non-coercive case in dimension $3$