  In this article, we will prove existence results for the equations of the
type $-\Delta_{N}u=H_{l}(u)+\mu$ and $F_{\frac{N}{2}}[-u]=H_{l}(u)+\mu$ in a
bounded domain $\Omega$, with Dirichlet boundary condition, where the source
term $H_{l}(r)$ takes the form $e^{r}-\sum_{j=0}^{l-1}\frac{r^{j}}{j!}$ and
$\mu$ is a nonnegative Radon measure.
