2 papers
math.DG2024
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.DG2023
A Poincaré formula for differential forms and applications
Nicolas Ginoux, Georges Habib, Simon Raulot
We prove a new general Poincaré-type inequality for differential forms on compact Riemannian manifolds with nonempty boundary. When the boundary is isometrically immersed in Euclid…