3 citations · 6 across the 5 of their papers we have counts for
5 papers
A Remark on Monge-Ampère equation over exterior domains
Guanghao Hong
We improve the result of Caffarelli-Li [CL03] on the asymptotic behavior at infinity of the exterior solution to Monge-Ampère equation on $\mathbb{R}^n\backslash…
Remarks on area maximizing hypersurfaces over and exterior domains
Guanghao Hong
In this note, we provide a complete classification for entire area maximizing hypersurfaces having an isolated singularity. We also construct an interesting illustrated example. Fo…
Maximal hypersurfaces over exterior domains
Guanghao Hong, Yu Yuan
In this paper, we study the exterior problem for the maximal surface equation. We obtain the precise asymptotic behavior of the exterior solution at infinity. And we prove that the…
Infinity harmonic functions over exterior domains
Guanghao Hong, Yizhen Zhao
In this paper, we study the infinity harmonic functions with linear growth rate at infinity defined on exterior domains. We show that such functions must be asymptotic to planes or…
Boundary Hölder Regularity for Elliptic Equations
Yuanyuan Lian, Kai Zhang, Dongsheng Li +1
This paper investigates the relation between the boundary geometric properties and the boundary regularity of the solutions of elliptic equations. We prove by a new unified method…