A. Dieb

activity

20242026

collaborators

3 papers

math.AP2026

Fractional Hardy inequalities on $C^{1, 1}$ open sets

Abdelrazek Dieb, Remi Yvant Temgoua

Let $I^c ◯$ be a bounded open set of class $C^{1, 1}$ in $R^{N}$ and $s \in (\frac{1}{2}, 1)$ . We study a family of fractional Hardy-type inequalities \begin{equation} \frac{c_{N,…

math.AP2025

A note on a Pohozaev identity for the fractional Green function

Abdelrazek Dieb, Isabella Ianni

We get a Pohozaev-type identity for the fractional Green function, which extends to the fractional setting a classical result by Brezis and Peletier. Our result complements with so…

math.AP2024

Uniqueness and nondegeneracy of least-energy solutions to fractional Dirichlet problems

Abdelrazek Dieb, Isabella Ianni, Alberto SaldaÃ±a

We prove the uniqueness and nondegeneracy of least-energy solutions of a fractional Dirichlet semilinear problem in sufficiently large balls and in more general symmetric domains.…

Fractional Hardy inequalities on C1,1 open sets

A note on a Pohozaev identity for the fractional Green function

Uniqueness and nondegeneracy of least-energy solutions to fractional Dirichlet problems

Fractional Hardy inequalities on $C^{1, 1}$ open sets