# 学术报告（周风 11.21）

## Stability and symmetry for solutions of biharmonic equations with negative exponents

Stability and symmetry for solutions of biharmonic equations with negative exponents

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$$\Delta^2 u= - u^{-p},\;\; u>0 \quad \text{in}~\R^N,$$ 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.

2018年11月7日