Singular semilinear elliptic equations in nondivergence form

Agnieszka Kałamajska, Dalimil Peša, Artur Rutkowski

We study the singular semilinear equation $-Pu=\frac{f}{u^{\gamma }}$ on a bounded domain $\Omega$ with Dirichlet condition $u\equiv 0$ on $\partial \Omega$ , where $P$ is a second-order elliptic…