3 citations · 10 across the 11 of their papers we have counts for
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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…
On estimates for Monge-Ampère and Hessian equations on nef classes
Bin Guo, Duong H. Phong, Freid Tong +1
The PDE approach developed earlier by the first three authors for estimates for fully non-linear equations on Kähler manifolds is shown to apply as well to Monge-Ampère…
On the Hessian-cscK equations
Bin Guo, Kevin Smith, Freid Tong
In this paper, we propose a coupled system of complex Hessian equations which generalizes the equation for constant scalar curvature Kähler (cscK) metrics. We show this system can…
Stability estimates for the complex Monge-Ampère and Hessian equations
Bin Guo, Duong H. Phong, Freid Tong
A new proof for stability estimates for the complex Monge-Ampère and Hessian equations is given, which does not require pluripotential theory. A major advantage is that the resulti…
A new gradient estimate for the complex Monge-Ampère equation
Bin Guo, Duong H. Phong, Freid Tong
A gradient estimate for complex Monge-Ampère equations which improves in some respects on known estimates is proved using the ABP maximum principle.
On estimates for complex Monge-Ampère equations
Bin Guo, Duong H. Phong, Freid Tong
A PDE proof is provided for the sharp estimates for the complex Monge-Ampère equation which had required pluripotential theory before. The proof covers both cases of fix…