3 papers
math.AP2023
Existence, uniqueness and interior regularity of viscosity solutions for a class of Monge-Ampère type equations
Mengni Li, You Li
The Monge-Ampère type equations over bounded convex domains arise in a host of geometric applications. In this paper, we focus on the Dirichlet problem for a class of Monge-Ampère…
math.AP2019
Global Regularity for minimal graphs over convex domains in hyperbolic space
Huaiyu Jian, You Li
In this paper we study the global regularity for the solution to the Dirichlet problem of the equation of minimal graphs over a convex domain in hyperbolic spaces. We find that the…
math.AP2019
On A Class of Degenerate And Singular Monge-Ampère Equations
Huaiyu Jian, You Li, Xushan Tu
In this paper we shall prove the existence, uniqueness and global Hlder continuity for the Dirichlet problem of a class of Monge-Ampère type equations which may be degene…