61 citations · 233 across the 26 of their papers we have counts for
4 papers · 1 filter
Singular Calabi-Yau metrics
Eleonora Di Nezza, Chinh H. Lu
These are notes of lectures given by the first named author during the CIME Summer school Calabi-Yau varieties. We survey known results concerning the complex Monge-Ampère equation…
A new approach to the Monge-Ampère eigenvalue problem
Chinh H. Lu, Ahmed Zeriahi
We study the eigenvalue problem for the complex Monge-Ampère operator in bounded hyperconvex domains in $\C^n$, where the right-hand side is a non-pluripolar positive Borel measure…
Uniform estimates: from Yau to Kolodziej
Vincent Guedj, Chinh H. Lu
In this note we provide a new and efficient approach to uniform estimates for solutions to complex Monge-Ampere equations, as well as for solutions to geometric PDE's that satisfy…
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,…