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math.AP2015★ 2 cited
The effect of the Hardy potential in some Calderón-Zygmund properties for the fractional Laplacian
Boumediene Abdellaoui, María Medina, Ireneo Peral +1
The goal of this paper is to study the effect of the Hardy potential on the existence and summability of solutions to a class of nonlocal elliptic problems $$ \left\{\begin{array}{…
math.AP2015★ 66 cited
Fractional elliptic problems with critical growth in the whole of
Serena Dipierro, Maria Medina, Enrico Valdinoci
We study the following nonlinear and nonlocal elliptic equation in~ $$ (-Δ)^s u = ε\,h\,u^q + u^p \ {\mbox{ in }}\R^n, $$ where~, , is a small paramete…