5 papers · 1 filter
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 inequalit…
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…
Biharmonic Steklov operator on differential forms
Fida El Chami, Nicolas Ginoux, Georges Habib +1
We introduce the biharmonic Steklov problem on differential forms by considering suitable boundary conditions. We characterize its smallest eigenvalue and prove elementary properti…
Eigenvalue Estimate for the basic Laplacian on manifolds with foliated boundary, part II
Fida El Chami, George Habib, Ola Makhoul +1
In [4], we gave a sharp lower bound for the first eigenvalue of the basic Laplacian acting on basic -forms defined on a compact manifold whose boundary is endowed with a Riemann…
Eigenvalue Estimate for the basic Laplacian on manifolds with foliated boundary
Fida El Chami, Georges Habib, Ola Makhoul +1
In this paper, we give a sharp lower bound for the first eigenvalue of the basic Laplacian acting on basic -forms defined on a compact manifold whose boundary is endowed with a…