3 papers
math.AP2020
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…
math.AP2019
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…
math.AP2017
Principal Eigenvalue of Mixed Problem for the Fractional Laplacian: Moving the Boundary Conditions
Tommaso Leonori, Maria Medina, Ireneo Peral +2
We analyze the behavior of the eigenvalues of the following non local mixed problem $\left\{ \begin{array}{rcll} (-Δ)^{s} u &=& λ_1(D) \ u &\innΩ,\\ u&=&0&\inn D,\\ \mathcal{N}_{s}…