P. Badiane

most citedThe Eigenvalue Problem for the complex Monge-AmpÃ¨re operator

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

collaborators

2 papers

math.CV2026★ 5 cited

The Eigenvalue Problem for the complex Monge-AmpÃ¨re operator

Papa Badiane, Ahmed Zeriahi

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

math.CV2025

Generalized study of the operator $I^\pm \partial^{k} \partial ˉ^{k} + I^^{2} \partial ˉ^{k} + I^^{3} \partial^{k} + c$ in weighted Hilbert space $L^{2} (C, e^{- ∣ z ∣^{2}})$

Eramane Bodian, Winnie Ossete Ingoba, Souhaibou Sambou +2

By HÃ¶rmander's $L^{2}$ -method, we study the operator $I^\pm \partial^{k} \partial ˉ^{k} + I^^{2} \partial ˉ^{k} + I^^{3} \partial^{k} + c$ for any order $k$ with $I^\pm, I^^{2}, I^^{3} \in R$ such…

The Eigenvalue Problem for the complex Monge-AmpÃ¨re operator

Generalized study of the operator I^±∂k∂ˉk+I^2∂ˉk+I^3∂k+c in weighted Hilbert space L2(C,e−∣z∣2)

Generalized study of the operator $I^\pm \partial^{k} \partial ˉ^{k} + I^^{2} \partial ˉ^{k} + I^^{3} \partial^{k} + c$ in weighted Hilbert space $L^{2} (C, e^{- ∣ z ∣^{2}})$