Singular semilinear elliptic equations in nondivergence form

We study the singular semilinear equation $-Pu = \frac{f}{u^γ}$ on a bounded domain $Ω$ with Dirichlet condition $u \equiv 0$ on $\partial Ω$ , where $P$ is a second-order elliptic differential operator in nondivergence form. We obtain the existence of a solution under the assumptions that $Ω\in C^{