3 papers
math.AP2026
Fractional Hardy inequalities on open sets
Abdelrazek Dieb, Remi Yvant Temgoua
Let be a bounded open set of class in and . We study a family of fractional Hardy-type inequalities \begin{equation} \frac{c_{N,s…
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.AP2017
Attainability of the fractional Hardy constant with nonlocal mixed boundary conditions. Applications
Boumediene Abdellaoui, Ahmed Attar, Abdelrazek Dieb +1
The first goal of this paper is to study necessary and sufficient conditions to obtain the attainability of the \textit{fractional Hardy inequality } $$Λ_{N}\equivΛ_{N}(Ω):=\inf_{\…