Xia Huang

activity

20152026

R^{2 m}

with constant

Q

-curvature and arbitrary volume

11 citations · 30 across the 16 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.AP2024

On sharp anisotropic Hardy inequalities

Xia Huang, Dong Ye

Recently, Yanyan Li and Xukai Yan showed the following interesting Hardy inequalities with anisotropic weights: Let $n \geq 2$ , $p \geq 1$ , $p α > 1 - n$ , $p (α + β) > - n$ , then there exis…

math.AP2024

Higher order Hardy-Rellich identities

Xia Huang, Dong Ye

In this paper, we show Hardy-Rellich identities for polyharmonic operators $Δ^{m}$ and radial Laplacian $Δ_{r}^{m}$ in $R^{n}$ with Hardy-Hénon weight $∣ x ∣^{α}$ for all $m, n\in \ma…

math.AP2024

Symmetry of positive solutions to biharmonic Lane-Emden equation with singular set

Xia Huang, Yuan Li, Xianmei Zhou

In this paper, we are devoted to studying the positive weak, punctured or distributional solutions to the biharmonic Lane-Emden equation \begin{equation*} Δ^{2} u=u^{p} \quad \quad…