3 papers
math.AP2025
Existence and nonexistence of viscosity solutions for a class of degenerate/singular eigenvalue type equations
Mengni Li, You Li
This paper is devoted to a complete classification on the existence and nonexistence results of viscosity solutions to the general Dirichlet problem for a class of eigenvalue type…
math.AP2025
Pointwise boundary estimates for fully nonlinear elliptic equations with nonzero Dirichlet boundary conditions
Mengni Li, Chaofan Shi
In this paper, we investigate boundary estimates for the Dirichlet problem for a class of fully nonlinear elliptic equations with general boundary conditions, including nonzero bou…
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…