Dong Ye

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20242026

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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…