Xia Huang

activity

20172022

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math.AP2022

Super polyharmonic property and asymptotic behavior of solutions to the higher order Hardy-Hénon equation near isolated singularities

Xia Huang, Yuan Li, Hui Yang

In this paper, we are devoted to studying the positive solutions of the following higher order Hardy-Hénon equation $$ (-Δ)^{m}u=|x|^αu^{p} \quad\mbox{in}~ B_{1}\setminus\{0\}\subs…

math.AP2018

Fast decaying solutions of Lane-Emden equations involving nonhomogeneous potential

Huyuan Chen, Xia Huang, Feng Zhou

We are interested in studying positive solutions of Lane-Emden equation $- Δ u = V u^{p} in R^{N} ∖ {0},$ where $V$ is a nonhomogeneous potential sati…

math.AP2017

On Delaunay solutions of a biharmonic elliptic equation with critical exponent

Zongming Guo, Xia Huang, Liping Wang +1

We are interested in the qualitative properties of positive entire solutions $u \in C^{4} (R^{n} \ {0})$ of the equation \begin{equation} \label{0.0} Δ^2 u=u^{\frac…