  We consider non-degenerate SDEs with a $\beta$-Holder continuous and bounded
drift term and driven by a Levy noise $L$ which is of $\alpha$-stable type. If
$\alpha \in [1,2)$ and $\beta \in (1 - \frac{\alpha}{2},1) $ we show pathwise
uniqueness and existence of a stochastic flow. We follow the approach of
[Priola, Osaka J. Math. 2012] improving the assumptions on the noise $L$. In
our previous paper $L$ was assumed to be non-degenerate, $\alpha$-stable and
symmetric. Here we can also recover relativistic and truncated stable processes
and some classes of temperated stable processes.

Dynamical Systems;Probability