Omar Alehyane

collaborators

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

math.CV2025

The Range of the Monge-Ampère operator $(ω + d d^{c} .)^{n}$ in bounded domains

Omar Alehyane, Fatima Zahra Assila, Mohammed Salouf

Let $Ω$ be a bounded strictly pseudoconvex domain of $C^{n}$ . We solve degenerate complex Monge-Ampère equations of the form $(ω + d d^{c} φ)^{n} = μ$ in the generalized Cegrell c…

Monge-Ampère equations with prescribed singularities on compact Hermitian manifolds

The Range of the Monge-Ampère operator (ω+ddc.)n in bounded domains

The Range of the Monge-Ampère operator $(ω + d d^{c} .)^{n}$ in bounded domains