  In this paper we prove the existence of at least one positive solution for
the nonlocal semipositone problem
  \[
  \displaystyle \left\{\begin{array}{rcll}
  (-\Delta)_p^s(u) &=& \lambda f(u) \qquad & \text{in} \ \ \Omega
  \\u &=& 0 & \text{in} \ \ \mathbb{R}^N -\Omega ,
  \end{array}\right.
  \]
  whenever $\lambda >0$ is a sufficiently small parameter. Here $\Omega
\subseteq \mathbb{R}^N$ a bounded domain with $C^{1,1}$ boundary, $2\leqslant p
<N$, $s\in (0,1)$ and $f$ superlineal and subcritical. We prove that if
$\lambda>0$ is chosen sufficiently small the associated Energy Functional to
the problem has a mountain pass structure and, therefore, it has a critical
point $u_\lambda$, which is a weak solution. After that we manage to prove that
this solution is positive by using new regularity results up to the boundary
and a Hopf's Lemma.
