4 papers
Lower bounds for the low Steklov eigenvalues
Tirumala Chakradhar, Bruno Colbois, Asma Hassannezhad
For a compact, connected, orientable Riemannian manifold with boundary components, we obtain geometric lower bounds for the low Steklov eigenvalues, namely , $1\le k\le b…
Nodal counts for the Robin problem on Lipschitz domains
Katie Gittins, Asma Hassannezhad, Corentin Léna +1
We consider the Courant-sharp eigenvalues of the Robin Laplacian for bounded, connected, open sets in , , with Lipschitz boundary. We prove Pleijel's theore…
Geometric bounds for low Steklov eigenvalues of finite volume hyperbolic surfaces
Asma Hassannezhad, Antoine Métras, Hélène Perrin
We obtain geometric lower bounds for the low Steklov eigenvalues of finite-volume hyperbolic surfaces with geodesic boundary. The bounds we obtain depend on the length of a shortes…
Tubes and Steklov eigenvalues in negatively curved manifolds
Ara Basmajian, Jade Brisson, Asma Hassannezhad +1
We consider the Steklov eigenvalue problem on a compact pinched negatively curved manifold of dimension at least three with totally geodesic boundaries. We obtain a geometric l…