75 citations · 97 across the 11 of their papers we have counts for
11 papers
Eigenvalue upper bounds for the magnetic Schroedinger operator
Bruno Colbois, Ahmad El Soufi, Said Ilias +1
We study the eigenvalues of the magnetic Schroedinger operator associated with a magnetic potential A and a scalar potential q, on a compact Riemannian manifold M, with Neumann bou…
On the Entropies of Hypersurfaces with bounded mean curvature
Said Ilias, Barbara Nelli, Marc Soret
We are interested in the impact of entropies on the geometry of a hypersurface of a Riemannian manifold. In fact, we will be able to compare the volume entropy of a hypersurface wi…
Remark on the paper "Eigenvalues of the Witten-Laplacian on compact Riemannian manifolds" Q.-M. Cheng and L. Zeng [arXiv:1304.3212]
Saïd Ilias
Why the results of that article [arXiv:1304.3212] are immediate consequences of known ones.
Caccioppoli's inequalities on constant mean curvature hypersurfaces in Riemannian manifolds
Said Ilias, Barbara Nelli, Marc Soret
This is a revised version (minor changes and a deeper insight in the positive curvature case). We prove some Caccioppoli's inequalities for the traceless part of the second fundame…
A Generalization of a Levitin and Parnovski Universal Inequality for Eigenvalues
Said Ilias, Makhoul Ola
In this paper, we derive "universal" inequalities for the sums of eigenvalues of the Hodge de Rham Laplacian on Euclidean closed Submanifolds and of eigenvalues of the Kohn Laplaci…
Universal inequalities for the eigenvalues of a power of the Laplace operator
Said Ilias, Ola Makhoul
In this paper, we obtain a new abstract formula relating eigenvalues of a self-adjoint operator to two families of symmetric and skew-symmetric operators and their commutators. Thi…