S. Ilias

most citedUniversal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds,

16 citations · 16 across the 2 of their papers we have counts for

collaborators

2 papers

math.SP2007★ 16 cited

Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds,

A. El Soufi, E. M. Harrell, S. Ilias

We establish inequalities for the eigenvalues of Schrödinger operators on compact submanifolds (possibly with nonempty boundary) of Euclidean spaces, of spheres, and of real, compl…

math.MG2007

Domain deformations and eigenvalues of the Dirichlet Laplacian in a Riemannian manifold

Ahmad El Soufi, Saïd Ilias

For any bounded regular domain $Ω$ of a real analytic Riemannian manifold $M$ , we denote by $λ_{k} (Ω)$ the $k$ -th eigenvalue of the Dirichlet Laplacian of $Ω$ . In this paper, we co…