13 citations · 21 across the 14 of their papers we have counts for
14 papers
Quantized vortex dynamics of the nonlinear Schrödinger equation on torus with non-vanishing momentum
Yongxing Zhu, Weizhu Bao, Huaiyu Jian
We derive rigorously the reduced dynamical laws for quantized vortex dynamics of the nonlinear Schrödinger equation on the torus with non-vanishing momentum when the vortex core si…
Global analyticity of affine hyperbolic spheres in the even dimensional space
Huaiyu Jian, Xianduo Wang
A number of geometric problems, including affine hyperbolic spheres, Hilbert metrics and Minkowski type problems, are reduced to a singular Monge-Ampère equation which can be writt…
Sharp boundary regularity for some degenerate-singular Monge-Ampère Equations on k-convex domain
Huaiyu Jian, Xianduo Wang
We introduce the concept of k-strictly convexity to describe the accurate convexity of convex domains some directions of which boundary may be flat. Basing this accurate convexity,…
Boundary Regularity for the Oblique Boundary Value Problem of Monge-Ampère Equations
Huaiyu Jian, Xushan Tu
We study the good shape property of boundary sections of convex solutions of the oblique boundary value problem for Monge-Ampère equations $$\det D^2u =f(x) \text{ in } Ω, \quad D_…
A Liouville theorem for the Neumann problem of the Monge-Ampere equation
Huaiyu Jian, Xushan Tu
In this paper, we study the Neumann problem of Monge-Ampère equations in Semi-space. For two dimensional case, we prove that its viscosity convex solutions must be a quadratic poly…
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…