Regularity of radial extremal solutions for some non local semilinear equations

Antonio Capella, Juan Dávila, Louis Dupaigne +1

We investigate stable solutions of elliptic equations of the type \begin{equation*} \left \{ \begin{aligned} (-Δ)^s u&=λf(u) \qquad {\mbox{ in $B_1\subset {\mathbb{R}}^n$}} \\ u&= 0 \qqua…