most citedThe Eigenvalue Problem for the complex Monge-Ampère operator

5 citations · 5 across the 1 of their papers we have counts for

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5 papers

math.CV2026★ 5 cited

The Eigenvalue Problem for the complex Monge-Ampère operator

Papa Badiane, Ahmed Zeriahi

We prove the existence of the first eigenvalue and an associated eigenfunction with Dirichlet condition for the complex Monge-Ampère operator on a bounded strongly pseudoconvex do…

math.DG2025

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 Gr…

math.CV2025

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 fini…

math.CV2025

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 measur…

math.CV2025

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 app…