Singularities of fractional Emden's equations via Caffarelli-Silvestre extension

We study the isolated singularities of functions satisfying (E) (--$\Delta$) s v$\pm$|v| p--1 v = 0 in $\Omega$\{0}, R N \$\Omega$, where < 1, p > 1 and $\Omega$ is a bounded domain containing origin. use Caffarelli-Silvestre extension to + x N. emphasize obtention priori estimates, analyse set self-similar solutions via energy methods characterize singularities.