75 citations · 105 across the 14 of their papers we have counts for
14 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…
Isoperimetric inequalities for the eigenvalues of natural Schrödinger operators on surfaces
Ahmad El Soufi
This paper deals with eigenvalue optimization problems for a family of natural Schrödinger operators arising in some geometrical or physical contexts. These operators, whose potent…
Universal inequalities for the eigenvalues of Schrodinger operators on submanifolds
Ahmad El Soufi, Evans Harrell, Said 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…
Pseudo-radial solutions of semi-linear elliptic equations on symmetric domains
Ahmad El Soufi, Mustapha Jazar
In this paper we investigate existence and characterization of non-radial pseudo-radial (or separable) solutions of some semi-linear elliptic equations on symmetric 2-dimensional d…
Where to place a spherical obstacle so as to maximize the second Dirichlet eigenvalue
Ahmad El Soufi, Rola Kiwan
We prove that among all doubly connected domains of bounded by two spheres of given radii, the second eigenvalue of the Dirichlet Laplacian achieves its maximum when…
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…