Asma Hassannezhad

activity

20122026

most citedSub-Laplacian eigenvalue bounds on sub-Riemannian manifolds

7 citations · 16 across the 11 of their papers we have counts for

collaborators

18 papers

math.DG2026

Lower bounds for the low Steklov eigenvalues

Tirumala Chakradhar, Bruno Colbois, Asma Hassannezhad

For a compact, connected, orientable Riemannian manifold with $b$ boundary components, we obtain geometric lower bounds for the low Steklov eigenvalues, namely $σ_{k}$ , $1\le k\le b-…

math.SP2024

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 $R^{n}$ , $n \geq 2$ , with Lipschitz boundary. We prove Pleijel's theore…

math.DG2024★ 1 cited

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…

math.DG2023

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 $M$ of dimension at least three with totally geodesic boundaries. We obtain a geometric l…

math.AP2023★ 2 cited

On Pleijel's nodal domain theorem for the Robin problem

Asma Hassannezhad, David Sher

We prove an improved Pleijel nodal domain theorem for the Robin eigenvalue problem. In particular we remove the restriction, imposed in previous work, that the Robin parameter be n…

math.SP2023

Applications of possibly hidden symmetry to Steklov and mixed Steklov problems on surfaces

Teresa Arias-Marco, Emily B. Dryden, Carolyn S. Gordon +3

We consider three different questions related to the Steklov and mixed Steklov problems on surfaces. These questions are connected by the techniques that we use to study them, whic…

math.AP2021

Nodal count for Dirichlet-to-Neumann operators with potential

Asma Hassannezhad, David Sher

We consider Dirichlet-to-Neumann operators associated to $Δ + q$ on a Lipschitz domain in a smooth manifold, where $q$ is an $L^{\infty}$ potential. We prove a Courant-type bound for…

math.DG2019

Escobar constants of planar domains

Asma Hassannezhad, Anna Siffert

We initiate the study of the higher-order Escobar constants $I_{k} (M)$ , $k \geq 3$ , on bounded planar domains $M$ . The Escobar constants $I_{k}$ of the unit disk and a family of polygon…

math.SP2018

The Steklov and Laplacian spectra of Riemannian manifolds with boundary

Bruno Colbois, Alexandre Girouard, Asma Hassannezhad

Given two compact Riemannian manifolds with boundary $M_{1}$ and $M_{2}$ such that their respective boundaries $Σ_{1}$ and $Σ_{2}$ admit neighborhoods $Ω_{1}$ and $Ω_{2}$ which are isometric,…

math.SP2017

Eigenvalue bounds of mixed Steklov problems

Asma Hassannezhad, Ari Laptev

We study bounds on the Riesz means of the mixed Steklov-Neumann and Steklov-Dirichlet eigenvalue problem on a bounded domain $Ω$ in $R^{n}$ . The Steklov-Neumann eigenvalue p…

math.SP2017

A note on Kuttler-Sigillito's inequalities

Asma Hassannezhad, Anna Siffert

We provide several inequalities between eigenvalues of some classical eigenvalue problems on domains with $C^{2}$ boundary in complete Riemannian manifolds. A key tool in the proof i…

math.SP2017

Higher order Cheeger inequalities for Steklov eigenvalues

Asma Hassannezhad, Laurent Miclo

We prove a lower bound for the $k$ -th Steklov eigenvalues in terms of an isoperimetric constant called the $k$ -th Cheeger-Steklov constant in three different situations: finite spa…

math.SP2016

Spectral geometry of the Steklov problem on orbifolds

Teresa Arias-Marco, Emily B. Dryden, Carolyn S. Gordon +3

We consider how the geometry and topology of a compact $n$ -dimensional Riemannian orbifold with boundary relates to its Steklov spectrum. In two dimensions, motivated by work of A.…

math.DG2015

Zero and negative eigenvalues of the conformal Laplacian

A. Rod Gover, Asma Hassannezhad, Dmitry Jakobson +1

We show that zero is not an eigenvalue of the conformal Laplacian for generic Riemannian metrics. We also discuss non-compactness for sequences of metrics with growing number of ne…

math.DG2015★ 1 cited

Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound

Asma Hassannezhad, Gerasim Kokarev, Iosif Polterovich

We revisit classical eigenvalue inequalities due to Buser, Cheng, and Gromov on closed Riemannian manifolds, and prove the versions of these results for the Dirichlet and Neumann b…

math.DG2014★ 7 cited

Sub-Laplacian eigenvalue bounds on sub-Riemannian manifolds

Asma Hassannezhad, Gerasim Kokarev

We study eigenvalue problems for intrinsic sub-Laplacians on regular sub-Riemannian manifolds. We prove upper bounds for sub-Laplacian eigenvalues $λ_{k}$ of conformal sub-Riemannian…

math.SP2012

Eigenvalues of the Laplacian and extrinsic geometry

Asma Hassannezhad

We extend the results given by Colbois, Dryden and El Soufi on the relationships between the eigenvalues of the Laplacian and an extrinsic invariant called intersection index, in t…

math.DG2012★ 5 cited

Eigenvalues of perturbed Laplace operators on compact manifolds

Asma Hassannezhad

We obtain upper bounds for the eigenvalues of the Schrödinger operator $L = Δ_{g} + q$ depending on integral quantities of the potential $q$ and a conformal invariant called the min-conf…