P. Badiane

activity

20222026

most citedThe Eigenvalue Problem for the complex Monge-Ampère operator

5 citations · 5 across the 4 of their papers we have counts for

collaborators

5 papers

math.CV2026

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…

math.CV2025

Generalized study of the operator $α \partial^{k} \partial ˉ^{k} + β \partial ˉ^{k} + γ \partial^{k} + c$ in weighted Hilbert space $L^{2} (C, e^{- ∣ z ∣^{2}})$

Eramane Bodian, Winnie Ossete Ingoba, Souhaibou Sambou +2

By Hörmander's $L^{2}$ -method, we study the operator $α \partial^{k} \partial ˉ^{k} + β \partial ˉ^{k} + γ \partial^{k} + c$ for any order $k$ with $α, β, γ \in R$ such that $(…

math.CV2023

A variational approach to the eigenvalue problem for complex Hessian operators

Papa Badiane, Ahmed Zeriahi

Let $1 \leq m \leq n$ be two integers and $Ω\Subset \C^n$ a bounded $m$ -hyperconvex domain in $\C^n$. Using a variational approach, we prove the existence of the first eigenvalue a…

math.CV2023★ 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 dom…

math.FA2022

Study of the operator $\partial^{k} \partial ˉ^{k} + c$ in the weighted Hilbert space $L^{2} (C, e^{- ∣ z ∣^{2}})$

Eramane Bodian, Souhaibou Sambou, Papa Badiane +2

By the Hörmander's $L^{2}$ -method, we study the operator $\partial^{k} \partial ˉ^{k} + c$ for any order $k$ in the weighted Hilbert space $L^2(\mathbb{C}, {\rm e}^{-\vert z \vert^…