4 papers
Monge-Ampère equations with prescribed singularities on compact Hermitian manifolds
Omar Alehyane, Chinh H. Lu, Mohammed Salouf
Given a compact complex manifold , we study the existence and the uniqueness of weak solutions to degenerate Monge-Ampère equations on with prescribed singularities when th…
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,…
Kiselman Minimum Principle and Rooftop Envelopes in Complex Hessian Equations
Per à hag, RafaŠCzyż, Chinh H. Lu +1
We initiate the study of -subharmonic functions with respect to a semipositive -form in Euclidean domains, providing a significant element in understanding geodesics with…
Geodesic connectivity and rooftop envelopes in the Cegrell classes
Per à hag, RafaŠCzyż, Chinh H. Lu +1
This study examines geodesics and plurisubharmonic envelopes within the Cegrell classes on bounded hyperconvex domains in . We establish that solutions possessing com…