  We prove local Lipschitz regularity for bounded minimizers of functionals
with nonstandard $p,q$-growth with the source term in the Lorentz space
$L(N,1)$ under the restriction $q<p+1+p\,\min\left\{\frac
1N,\frac{2(p-1)}{Np-2p+2}\right\}$. This extends the recent work by
Beck-Mingione to bounded minimizers under weaker hypothesis and is sharp for
some special ranges of $p$, $q$ and $N$.
