Congming Li

most citedA Liouville theorem for

α

-harmonic functions in

R_{+}^{n}

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2014★ 2 cited

A Liouville theorem for $α$ -harmonic functions in $R_{+}^{n}$

Wenxiong Chen, Congming Li, Lizhi Zhang +1

In this paper, we consider $α$ -harmonic functions in the half space $R_{+}^{n}$ : \begin{equation} \left\{\begin{array}{ll} (-Δ)^{α/2} u(x)=0,~u(x)>0, & x\in\mathbb{R}^n_+, \\…

math.AP2014

A Liouville theorem for high order degenerate elliptic equations

Genggeng Huang, Congming Li

In this paper, we apply the moving plane method to the following high order degenerate elliptic equation,\begin{equation*} (-A)^p u=u^α\text{ in } \mathbb R^{n+1}_+,n\geq 1, \end{e…

math.AP2014★ 1 cited

Shooting Method with Sign-Changing Nonlinearity

Ze Cheng, Congming Li

In this paper, we study the existence of solution to a nonlinear system: \begin{align} \left\{\begin{array}{cl} -Δu_{i} = f_{i}(u) & \text{in } \mathbb{R}^n, u_{i} > 0 & \text{in }…

A Liouville theorem for α-harmonic functions in R+n​

A Liouville theorem for high order degenerate elliptic equations

Shooting Method with Sign-Changing Nonlinearity

A Liouville theorem for $α$ -harmonic functions in $R_{+}^{n}$