Sharp Boundary Growth Rate Estimate of the Singular Equation $-\Delta u=u^{-\gamma }$ in a Critical Cone

Leyun Wu, Chilin Zhang

For $\gamma >0$, we study the sharp boundary growth rate estimate of solutions to the Dirichlet problem of the singular Lane-Emden-Fowler equation \begin{equation*} -Δu=u^{-γ} \end{equat…