A uniqueness result for some singular semilinear elliptic equations

Annamaria Canino, Berardino Sciunzi

Given $\Omega$ a bounded open subset of ${\mathbb{R}}^N$, we consider nonnegative solutions to the singular semilinear elliptic equation $-\Delta u=\frac{f}{u^{\beta }}$ in $H_{loc}^1(\Omega )$, under…