2 papers
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
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…