Hui Yang

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20242026

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Showing 2026 · math.APShow all

4 papers · 2 filters

math.AP2026

Symmetry, monotonicity, and asymptotics of singular solutions to semilinear elliptic equations

Xusheng Du, Hui Yang

In this paper, we study singular positive solutions to the semilinear elliptic equation $- Δ u = f (u) in Ω ∖ Γ,$ where $Ω \subset R^{n}$ is a bounded or u…

math.AP2026

The direct moving plane method for weak solutions of the fractional $p$ -Laplacian

Meiqing Xu, Hui Yang

In this paper, we develop the method of moving planes entirely in the weak formulation for the fractional $p$ -Laplacian in the singular range $1 < p \leq 2$ . We first establish a small…

math.AP2026

On the structure of isolated singularities for semilinear elliptic equations

Meiqing Xu, Hui Yang

In this paper, we study isolated singularities of the following semilinear elliptic equation $- Δ u + \frac{1}{2} x \cdot \nabla u + \frac{1}{q - 1} u - u^{q} = 0$ in $Ω ∖ {0}$ , where $n\ge 3…

math.AP2026

Liouville theorems for conformal $Q$ -curvature equations

Meiqing Xu, Hui Yang

In this paper, we study the non-existence of positive solutions for the following conformal $Q$ -curvature equation \begin{equation*} (-Δ)^σu = K(x) u^{\frac{n+2σ}{n-2σ}} \quad \tex…

Symmetry, monotonicity, and asymptotics of singular solutions to semilinear elliptic equations

The direct moving plane method for weak solutions of the fractional p-Laplacian

On the structure of isolated singularities for semilinear elliptic equations

Liouville theorems for conformal Q-curvature equations

The direct moving plane method for weak solutions of the fractional $p$ -Laplacian

Liouville theorems for conformal $Q$ -curvature equations