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.AP2022
Ideal MHD. Part III: Inverse scattering of Alfvén waves in three dimensional ideal magnetohydrodynamics
Mengni Li
The purpose of this paper is to solve the inverse scattering problem of nonlinear Alfvén waves governed by the three dimensional ideal incompressible MHD system. Bridging together…
math.AP2022
Entire subsolutions of a kind of k-Hessian type equations with gradient terms
Jingwen Ji, Feida Jiang, Mengni Li
In this paper, we consider a kind of -Hessian type equations in , and provide a necessary and sufficient condition of o…