Symmetry, monotonicity, and asymptotics of singular solutions to semilinear elliptic equations

Xusheng Du, Hui Yang

In this paper, we study singular positive solutions to the semilinear elliptic equation $$-\Delta u=f(u)\text{in}\Omega \setminus \Gamma ,$$ where $\Omega \subset {\mathbb{R}}^n$ is a bounded or u…