3 papers
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 in , where $n\ge 3…
math.AP2025
On isolated singularities of the conformal Gaussian curvature equation and -curvature equation
Hui Yang, Ronghao Yang
In this paper, we study the isolated singularities of the conformal Gaussian curvature equation \[ -Δu = K(x) e^{u} \quad ~ in ~ B_{1} \setminus \{ 0 \}, \] where $B_1 \setminus \{…
math.AP2024
The direct moving sphere for fractional Laplace equation
Congming Li, Meiqing Xu, Hui Yang +1
This paper works on the direct method of moving spheres and establishes a Liouville-type theorem for the fractional elliptic equation \[ (-Δ)^{α/2} u =f(u) ~~~~~~ \text{in } \mathb…