61 citations · 100 across the 16 of their papers we have counts for
22 papers
A note on quasilinear equations with fractional diffusion
Boumediene Abdellaoui, Pablo Ochoa, Ireneo Peral
In this paper, we study the existence of distributional solutions of the following non-local elliptic problem \begin{eqnarray*} \left\lbrace \begin{array}{l} (-Δ)^{s}u + |\nabla u|…
Fractional KPZ equations with critical growth in the gradient respect to Hardy potential
Boumediene Abdellaoui, Ireneo Peral, Ana Primo +1
In this work we study the existence of positive solution to the fractional quasilinear problem, $$ \left\{ \begin{array}{rcll} (-Δ)^s u &=&λ\dfrac{u}{|x|^{2s}}+ |\nabla u|^{p}+ μf…
A note on the Fujita exponent in Fractional heat equation involving the Hardy potential
Boumediene Abdellaoui, Ireneo Peral, Ana Primo
In this work, we are interested on the study of the Fujita exponent and the meaning of the blow-up for the Fractional Cauchy problem with the Hardy potential, namely, \begin{equati…
On the KPZ equation with fractional diffusion: global regularity and existence results
Boumediene Abdellaoui, Ireneo Peral, Ana Primo +1
In this work we analyze the existence of solutions to the fractional quasilinear problem, $$ (P) \left\{ \begin{array}{rcll} u_t+(-Δ)^s u &=&|\nabla u|^α+ f &\inn Ω_T\equivΩ\times…
Neumann conditions for the higher order -fractional Laplacian with
B. Barrios, L. Montoro, I. Peral +1
In this paper we study a variational Neumann problem for the higher order -fractional Laplacian, with . In the process, we introduce some non-local Neumann boundary conditi…
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_{\…