Chinh H. Lu

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math.CV2025

Monge-Ampère equations with prescribed singularities on compact Hermitian manifolds

Omar Alehyane, Chinh H. Lu, Mohammed Salouf

Given a compact complex manifold $X$ , we study the existence and the uniqueness of weak solutions to degenerate Monge-Ampère equations on $X$ with prescribed singularities when the…

math.CV2024

Kiselman Minimum Principle and Rooftop Envelopes in Complex Hessian Equations

Per Åhag, Rafał Czyż, Chinh H. Lu +1

We initiate the study of $m$ -subharmonic functions with respect to a semipositive $(1, 1)$ -form in Euclidean domains, providing a significant element in understanding geodesics with…

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 $C^{n}$ . We establish that solutions possessing com…