Long Huang

collaborators

3 papers

math.AP2025

Liouville-type Theorems for Stable Solutions of the Hénon-Lane-Emden System

Long-Han Huang, Wenming Zou

We investigate the Hénon-Lane-Emden system defined by $- Δ u = ∣ x ∣^{a} ∣ v ∣^{p - 1} v$ and $- Δ v = ∣ x ∣^{b} ∣ u ∣^{q - 1} u$ in $R^{N} ∖ {0}$ . We begin by establishing a general…

math.CA2025

Capacitary Muckenhoupt Weight, BMO and BLO Spaces with Hausdorff Content, Factorization Theorems and Applications

Long Huang, Yangzhi Zhang, Ciqiang Zhuo

Let $δ \in (0, n]$ , $p \in [1, \infty)$ , $H_{\infty}^{δ}$ denote the Hausdorff content on $R^{n}$ , and $A_{p, δ}$ be the capacitary Muckenhoupt weight class. We are…

math.CA2025

Capacitary Muckenhoupt Weights and Weighted Norm Inequalities for Hardy-Littlewood Maximal Operators

Long Huang, Yangzhi Zhang, Ciqiang Zhuo

Let $H_{\infty}^{δ}$ denote the Hausdorff content of dimension $δ \in (0, n]$ defined on subsets of $R^{n}$ . The principal problem, considered in this paper, is to charac…