20 citations · 47 across the 17 of their papers we have counts for
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Properties of the extremal solution for a fourth-order elliptic problem
Baishun Lai, Zhuoran Du
Let denote the largest possible value of such that $$ \{{array}{lllllll} Δ^{2}u=\fracλ{(1-u)^{p}} & \{in}\ \ B, 0<u\leq 1 & \{in}\ \ B, u=\frac{\partial u}{\partial n…
Asymptotic behavior of positive solutions of semilinear elliptic equations in
Baishun Lai, Shuqing Zhou, qing Luo
We will investigate the asymptotic behavior of positive solutions of the elliptic equation Δu+|x|^{l_{1}}u^{p}+|x|^{l_{2}}u^{q}=0 {in} R^{n}. We establish that for and $q…
Uniqueness of singular solution of semilinear elliptic equation
Lai Baishun, Luo Qing
In this paper, we study asymptotic behavior of solution near 0 for a class of elliptic problem. The uniqueness of singular solution is established
Infinite multiplicity for inhomogeneous supercritical problem in entire space
Baishun Lai, Zhihao Ge
In this paper, we will prove the existence of infinitely many positive solutions to the following supercritical problem by using the Liapunov-Schmidt reduction method and asymptoti…
Regularity of the extremal solution for a fourth-order elliptic problem with singular nonlinearity
Baishun Lai, Qing Luo
In this paper, we consider the relation between and critical dimension of the extremal solution of the semilinear equation $$\{\begin{array}{lllllll} βΔ^{2}u-τΔu=\fracλ{(1-…