Baishun Lai

collaborators

3 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 $λ^{*} > 0$ denote the largest possible value of $λ$ 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 &…

math.AP2010

Properties of the extremal solution for a fourth-order elliptic problem

Baishun Lai, Zhuoran Du

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