Singular semilinear elliptic equations in nondivergence form

Agnieszka Kałamajska, Dalimil Peša, Artur Rutkowski

We study the singular semilinear equation $-Pu=\frac{f}{u^3}$ on a bounded domain $\hat{I}\text{c◯}$ with Dirichlet condition $u\equiv 0$ on $\partial \hat{I}\text{c◯}$ , where $P$ is a second-order ellip…