14 citations · 24 across the 4 of their papers we have counts for
4 papers
Spectrum of the Laplacian with weights
Bruno Colbois, Ahmad El Soufi
Given a compact Riemannian manifold (M, g) and two positive functions and , we are interested in the eigenvalues of the Dirichlet energy functional weighted by , with res…
The first positive eigenvalue of the sub-laplacian on cr spheres
Amine Aribi, Ahmad El Soufi
We prove that the first positive eigenvalue, normalized by the volume, of the sub-Laplacian associated with a strictly pseudoconvex pseudo-Hermitian structure $\θ$ on the CR sphere…
Inequalities and bounds for the eigenvalues of the sub-Laplacian on a strictly pseudoconvex CR manifold
Amine Aribi, Ahmad El Soufi
We establish inequalities for the eigenvalues of the sub-Laplace operator associated with a pseudo-Hermitian structure on a strictly pseudoconvex CR manifold. Our inequalities exte…
Extremal eigenvalues of the Laplacian in a conformal class of metrics : the "conformal spectrum"
Bruno Colbois, Ahmad El Soufi
Let be a compact connected manifold of dimension endowed with a conformal class of Riemannian metrics of volume one. For any integer , we consider the conformal…