Regularity of radial stable solutions to semilinear elliptic equations for the fractional Laplacian

Tomás Sanz-Perela

We study the regularity of stable solutions to the problem $$ \left\{ \begin{array}{rcll} (-Δ)^s u &=& f(u) & \text{in} \quad B_1\,, u &\equiv&0 & \text{in} \quad \mathbb R^n\setmi…