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

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8 papers · 1 filter

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.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.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.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…