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math.CV2025
On uniqueness of solutions to complex Monge-Ampère mean field equations
Chinh H. Lu, Trong-Thuc Phung
We establish the uniqueness of solutions to complex Monge-Ampère mean field equations when the temperature parameter is small. In the local setting of bounded hyperconvex domains,…
math.CV2020
Stability and Hölder regularity of solutions to complex Monge-Ampère equations on compact Hermitian manifolds
Chinh H. Lu, Trong-Thuc Phung, Tât-Dat Tô
Let be a compact Hermitian manifold. We establish a stability result for solutions to complex Monge-Ampère equations with right-hand side in , . Using this we pro…