Radial symmetry of positive entire solutions of a fourth order elliptic equation with a singular nonlinearity

Zongming Guo, Long Wei, Feng Zhou

The necessary and sufficient conditions for a regular positive entire solution $u$ of the biharmonic equation: \begin{equation} \label{0.1} -Δ^2 u=u^{-p} \;\; \mbox{in $\R^N \; (N…