In this paper, we study the existence and regularity of solutions for p-Kirchhoff elliptic problems involving a singular nonlinear term. The model problem is \(\begin{aligned} \left\{ \begin{array}{ll} -M\left( \int _{\varOmega }|\nabla u|^{p}\right) \textrm{div}\left( |\nabla u|^{p-2}\nabla u\right) =\dfrac{f(x)}{u^{\gamma }} & \quad \text{ in } \varOmega ,\\ u>0 & \quad \text {in } \varOmega ,\\ u=0& \quad \text {on } \partial \varOmega , \end{array}\right. \end{aligned}\) where \(\varOmega \) is a bounded domain in \(\mathbb {R}^{N}\) , \(1<p<N\) , \(0<\gamma \le 1\) and \(M: \mathbb {R}^{+}\rightarrow \mathbb {R}^{+}=[0;+\infty )\) , is a continuous function satisfying some extra hypotheses. We will prove existence results for solutions under various assumptions on the summability of datum f.
