2 papers
math.DG2026
The Buckling and Clamped Plate Problems on Differential Forms
Fida El Chami, Nicolas Ginoux, Georges Habib +2
We extend the buckling and clamped-plate problems to the context of differential forms on compact Riemannian manifolds with smooth boundary. We characterize their smallest eigenval…
math.DG2025
Integral Formulas for Differential Forms on Weighted Manifolds and Applications
Fida El Chami, Ola Makhoul
In this paper, we derive a Reilly formula for differential forms on weighted manifolds with nonempty boundary. As an application of this formula, we prove a Poincaré-type inequali…