Singularity of the extremal solution for supercritical biharmonic equations with power-type nonlinearity

Baishun Lai, Zhengxiang Yan, Yinghui Zhang

Let ${\lambda }^{\ast }>0$ denote the largest possible value of $\lambda$ such that $$ \{{array}{lllllll} Δ^{2}u=λ(1+u)^{p} & {in}\ \ \B, %0<u\leq 1 & {in}\ \ \B, u=\frac{\partial u}{\partial n} =0 &…