4 papers
Classification of solutions for some mixed order elliptic system
Genggeng Huang, Yating Niu
In this paper, we classify the solution of the following mixed-order conformally invariant system with coupled nonlinearity in : \begin{equation}\left\{ \begin{align…
Analyticity of the solutions to degenerate Monge-Ampère equations
Genggeng Huang, Yingshu Lü
This paper is devoted to study the following degenerate Monge-Ampère equation: \begin{eqnarray}\label{ab1} \begin{cases} \det D^2 u=Λ_q (-u)^q \quad \text{in}\quad Ω,\\ u=0 \quad\t…
A priori bounds for a class of semi-linear degenerate elliptic equations
Genggeng Huang
In this paper, we mainly discuss a priori bounds of the following degenerate elliptic equation, {equation}\label{000} a^{ij}(x)\partial_{ij}u+b^i(x)\partial_i u +f(x,u)=0,\text{in}…
A Liouville theorem of degenerate elliptic equation and its application
Genggeng Huang
In this paper, we apply the moving plane method to some degenerate elliptic equations to get a Liouville type theorem. As an application, we derive the a priori bounds for positive…