Jiguang Bao

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math.AP2026

Existence of classical solutions to the exterior Dirichlet problem for Hessian quotient equations

Yuxuan Liao, Jiguang Bao

This paper studies the exterior Dirichlet problem for Hessian quotient equations with nonconstant right-hand sides. We prove the existence of classical admissible solutions with pr…

math.AP2025

Asymptotic behavior at infinity and existence of solutions to the Lagrangian mean curvature flow in $R_{-}^{n + 1}$

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.AP2024

Two Necessary and Sufficient Conditions to the Solvability of the Exterior Dirichlet Problem for the Monge-Ampère Equation

Cong Wang, Jiguang Bao

The present paper provides two necessary and sufficient conditions for the existence of solutions to the exterior Dirichlet problem of the Monge-Ampère equation with prescribed asy…

Existence of classical solutions to the exterior Dirichlet problem for Hessian quotient equations

Asymptotic behavior at infinity and existence of solutions to the Lagrangian mean curvature flow in R−n+1​

Two Necessary and Sufficient Conditions to the Solvability of the Exterior Dirichlet Problem for the Monge-Ampère Equation

Asymptotic behavior at infinity and existence of solutions to the Lagrangian mean curvature flow in $R_{-}^{n + 1}$