2 papers
math.CV2025
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 the…
math.CV2024
Geodesic connectivity and rooftop envelopes in the Cegrell classes
Per Åhag, Rafał Czyż, 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…