| Abstract: |
| In a Lipschitz domain, we discuss the behavior of positive weak solutions of a superlinear elliptic equation $-\Delta u=a(x)u^p$ satisfying zero Dirichlet boundary condition except for one point, say $0$. In particular, we present sufficient conditions for solutions to be extendable continuously at $0$ in the case where $p$ is close to $1$. Moreover, two sided estimates for such extensions are given. |
|