1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.DG2024
A free boundary Monge-Ampère equation and applications to complete Calabi-Yau metrics
Tristan C. Collins, Freid Tong, Shing-Tung Yau
Let be a convex body containing the origin in its interior. We study a real Monge-Ampère equation with singularities along $\del P$ which is Legendre dual to a certain free bou…
math.AP2023
Generalized Monge-Ampère functionals and related variational problems
Freid Tong, Shing-Tung Yau
In this paper, we introduce a family of real Monge-Ampère functionals and study their variational properties. We prove a Sobolev type inequality for these functionals and use this…
math.DG2021★ 1 cited
On the modulus of continuity of solutions to complex Monge-Ampère equations
Bin Guo, Duong H. Phong, Freid Tong +1
In this paper, we prove a uniform and sharp estimate for the modulus of continuity of solutions to complex Monge-Ampère equations, using the PDE-based approach developed by the fir…