学术报告(周风 11.21)

Stability and symmetry for solutions of biharmonic equations with negative exponents

发布人:周妍 发布日期:2018-11-07
主题
Stability and symmetry for solutions of biharmonic equations with negative exponents
活动时间
-
活动地址
数学楼415
主讲人
周风 教授(华东师范大学)

摘要:We will first talk about the entire solutions for the semilinear biharmonic equation

$$\Delta^2 u= - u^{-p},\;\; u>0 \quad \text{in}~\R^N,$$ where $p>0$ and $N\geq 3$. In particular, the stability outside a compact set of the entire radial solutions will be completely studied, which resolves a remaining case. The second part of the talk concerns the necessary and sufficient conditions for a regular positive entire solution $u$ to be a radially symmetric solution. This is based on joint works with X.Huang, W.Long, Z.M.Guo and D.Ye.  

 

数学学院

2018年11月7日