Quốc-Anh Ngȏ

Revisiting Guo-Huang-Wang-Wei pointwise estimates for radial solutions to the fourth-order H\'enon equation in the punctured space

We study pointwise estimates for positive, $C^4$-solution $u$ to the fourth-order H\'enon equation \[ \Delta^2 u = |x|^\sigma u^p \quad \text{in } \mathbf R^n \setminus \{0\} \] with $n \geq 5$, $p>1$, and $\sigma>-4 $. In an earlier work published in J. Anal. Math. 140 (2020) 371-394, Z. Guo, X. Huang, L. Wang, and J....