2 papers
math.AP2011
Some remarks on biharmonic elliptic problems with a singular nonlinearity
Baishun Lai
We study the following semilinear biharmonic equation $$ \left\{\begin{array}{lllllll} Δ^{2}u=\fracλ{1-u}, &\quad \mbox{in}\quad \B, u=\frac{\partial u}{\partial n}=0, &\quad \mbox…
math.AP2011
Singularity of the extremal solution for supercritical biharmonic equations with power-type nonlinearity
Baishun Lai, Zhengxiang Yan, Yinghui Zhang
Let denote the largest possible value of such that $$ \{{array}{lllllll} Δ^{2}u=λ(1+u)^{p} & {in}\ \ \B, %0<u\leq 1 & {in}\ \ \B, u=\frac{\partial u}{\partial n} =0 &…