75 citations · 290 across the 42 of their papers we have counts for
52 papers
Complex Monge-Amp{è}re equations on Hermitian Manifolds: From bounded to smooth solutions
Papa Badiane, Chinh H. Lu, Ahmed Zeriahi
We study regularity of bounded weak solutions to complex Monge-Amp{è}re equations on compact Hermitian manifolds with right-hand side possibly decreasing in the unknown. Our proof…
Kähler-Ricci flows coming out of metric spaces
Alix Deruelle, Vincent Guedj, Henri Guenancia +1
Given a compact Kähler manifold and a closed, positive -current on , we find sufficient conditions for to induce a metric structure which is the Gro…
High Energy plurisubharmonic classes
Vincent Guedj, Ahmed Zeriahi
Let $Ω\Subset \C^n$ be a bounded strongly pseudoconvex domain. For any concave increasing weight such that , we introduce and study finite…
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…
An Iterative Approach to the Complex Monge-Ampère Eigenvalue Problem
Ahmed Zeriahi
We present an iterative approach to approximate the solution to the Dirichlet complex Monge-Ampère eigenvalue problem on a bounded strictly pseudoconvex domain in $\C^n$. This appr…
Diameter of Kähler currents
Vincent Guedj, Henri Guenancia, Ahmed Zeriahi
We establish upper bounds on the diameter of compact Kähler manifolds endowed with Kähler metrics whose volume form satisfies an Orlicz integrability condition. Our results extend…