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20202025
most citedAsymptotic behavior at infinity of solutions of Lagrangian mean curvature equations

1 citations · 3 across the 4 of their papers we have counts for

collaborators

6 papers

math.AP2025

Asymptotic behavior at infinity and existence of solutions to the Lagrangian mean curvature flow in

Jiguang Bao, Zixiao Liu

This paper investigates the asymptotic behavior at infinity of ancient solutions to the Lagrangian mean curvature flow. Under conditions that admit Liouville type rigidity theorems…

math.AP2022

Asymptotic behavior of solutions to the Monge--Ampère equations with slow convergence rate at infinity

Zixiao Liu, Jiguang Bao

We consider the asymptotic behavior of solutions to the Monge--Ampère equations with slow convergence rate at infinity and fulfill previous results under faster convergence rate by…

math.AP20221 cited

Asymptotic expansion of 2-dimensional gradient graph with vanishing mean curvature at infinity

Zixiao Liu, Jiguang Bao

In this paper, we establish the asymptotic expansion at infinity of gradient graph in dimension 2 with vanishing mean curvature at infinity. This corresponds to our previous result…

math.AP20211 cited

Symmetry of solutions of minimal gradient graph equations on punctured space

Zixiao Liu, Jiguang Bao

In this paper, we study symmetry and existence of solutions of minimal gradient graph equations on punctured space , which include the Monge-Ampère equat…

math.AP2020

Asymptotic behavior of positive solutions of some nonlinear elliptic equations on cylinders

Shan Chen, Zixiao Liu

We establish quantitative asymptotic behavior of positive solutions of a family of nonlinear elliptic equations on the half cylinder near the end. This unifies the study of isolate…

math.AP20201 cited

Asymptotic behavior at infinity of solutions of Lagrangian mean curvature equations

Jiguang Bao, Zixiao Liu

We studied the asymptotic behavior of solutions with quadratic growth condition of a class of Lagrangian mean curvature equations in exterior domain, where