4 papers · 1 filter
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…
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…
Uniqueness and nondegeneracy of least-energy solutions to fractional Dirichlet problems
Abdelrazek Dieb, Isabella Ianni, Alberto Saldaña
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.…
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_{\…