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math.AP2026
Qualitative analysis of positive radial singular solutions on hyperbolic space
Xia Huang, Yahui Jiang, Chunyi Zhao
We investigate positive radial solutions with an isolated nonremovable singularity for the semilinear elliptic equation \begin{align*} Δ_{\mathbb{H}^N} u+λu+u^p=0 \qquad\text{in }\…
math.AP2026
Asymptotically sharp Hardy-Rellich inequalities on lattices
Xia Huang, Dong Ye
We determine the sharp asymptotic behavior of the optimal constants in the discrete Hardy-Rellich inequalities on the lattice . For every fixed integer , let…