75 citations · 97 across the 11 of their papers we have counts for
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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 of a real analytic Riemannian manifold , we denote by the -th eigenvalue of the Dirichlet Laplacian of . In this paper, we co…
math.MG2007★ 75 cited
Laplacian eigenvalues functionals and metric deformations on compact manifolds
Ahmad El Soufi, Said Ilias
In this paper, we investigate critical points of the Laplacian's eigenvalues considered as functionals on the space of Riemmannian metrics or a conformal class of metrics on a comp…