Xiaobiao Jia

collaborators

2 papers

math.AP2021

Hölder estimates and asymptotic behaviors of solutions of some degenerate elliptic equations on half-spaces

Xiaobiao Jia

In this paper we report the asymptotic behaviors of viscosity solutions of the following degenerate elliptic equations \begin{equation*}\label{main-Eq} Lu=x_n^{2α}\sum_{i,j=1}^{n-1…

math.AP2018

Asymptotic behavior at infinity of solutions of Monge-Ampère equations in half spaces

Xiaobiao Jia, Dongsheng Li, Zhisu Li

We prove that any convex viscosity solution of $det D^{2} u = 1$ outside a bounded domain of $R_{+}^{n}$ tends to a quadratic polynomial at infinity with rate at least $\frac{x_n…