Long Huang

collaborators

6 papers

math.AP2026

Interior Regularity for Stable Solutions of Semilinear Elliptic Equations with Sign-Changing Nonlinearities

Long-Han Huang, Yuxuan Zhou, Wenming Zou

We investigate interior regularity for stable solutions of the semilinear elliptic equation $- Δ u = f (u)$ in an open set $Ω \subseteq R^{n}$ , where $f$ is locally Lipschitz and m…

math.CA2026

Reverse Hölder Class and Two-Parameter Good- $λ$ Inequality over Hausdorff Content

Long Huang, Yangzhi Zhang, Ciqiang Zhuo

Classical harmonic analysis is built upon Lebesgue (or more general) measure. Such a framework is remarkably successful for sets of full ambient dimension, but becomes intrinsicall…

math.CA2026

The distance from functions in BMO to BLO

Hua Huang, Long Huang, Ciqiang Zhuo

Let BMO and BLO denote the spaces of all locally integrable real-valued functions on $R^{n}$ with bounded mean oscillation and bounded lower oscillation, respectively. It is…

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

Hausdorff content $A_{p}$ weights: weighted maximal inequalities and fundamental structural properties

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…

Interior Regularity for Stable Solutions of Semilinear Elliptic Equations with Sign-Changing Nonlinearities

Reverse Hölder Class and Two-Parameter Good-λ Inequality over Hausdorff Content

The distance from functions in BMO to BLO

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

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

Hausdorff content Ap​ weights: weighted maximal inequalities and fundamental structural properties

Reverse Hölder Class and Two-Parameter Good- $λ$ Inequality over Hausdorff Content

Hausdorff content $A_{p}$ weights: weighted maximal inequalities and fundamental structural properties