Cover Image

Quantitative spectral stability for the Neumann Laplacian in domains with small holes

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Felli, Veronica, Liverani, Lorenzo, Ognibene, Roberto
Format:	Preprint
Published:	2023
Subjects:	Analysis of PDEs Spectral Theory 35P05 35P15 35B25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the splitting of Neumann eigenvalues in perforated domains
by: Felli, Veronica, et al.
Published: (2026)

On asymptotics of Robin eigenvalues in the Dirichlet limit
by: Ognibene, Roberto
Published: (2024)

Quantitative Spectral Stability for the Robin Laplacian
by: Felli, Veronica, et al.
Published: (2025)

On the Effectless Cut Method for Laplacian Eigenvalues in any dimensions
by: Amato, Vincenzo, et al.
Published: (2026)

$H^2$-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity
by: Lamberti, Pier Domenico, et al.
Published: (2025)

Upper bounds for Courant-sharp Neumann and Robin eigenvalues
by: Gittins, Katie, et al.
Published: (2018)

Membranes with thin and heavy inclusions: asymptotics of spectra
by: Golovaty, Yuriy
Published: (2021)

Reverse Faber-Krahn inequality for planar doubly connected domains
by: Anoop, T. V., et al.
Published: (2025)

Families of non-tiling domains satisfying Pólya's conjecture
by: Freitas, Pedro, et al.
Published: (2022)

Nodal deficiency, spectral flow, and the Dirichlet-to-Neumann map
by: Berkolaiko, Gregory, et al.
Published: (2018)

Estimates for the first and second Steklov-Dirichlet eigenvalues
by: Sannipoli, Rossano
Published: (2025)

Neumann domains of planar analytic eigenfunctions
by: Anoop, T. V., et al.
Published: (2024)

Geometric inequalities between Dirichlet and Neumann eigenvalues
by: Hatcher, Lawford
Published: (2025)

Inequalities between Dirichlet and Neumann Eigenvalues on Surfaces
by: Hua, Bobo, et al.
Published: (2024)

On the Hersch-Weinberger inequality in higher dimensions
by: Anoop, T. V., et al.
Published: (2026)

Energy Distribution for Dirichlet Eigenfunctions on Right Triangles
by: Christianson, Hans, et al.
Published: (2023)

Neumann's nodal line may be closed on doubly-connected planar domains
by: Freitas, Pedro, et al.
Published: (2026)

Perturbed eigenvalues of polyharmonic operators in domains with small holes
by: Felli, Veronica, et al.
Published: (2022)

Homogenization and operator estimates for Steklov problems in perforated domains
by: Khrabustovskyi, Andrii, et al.
Published: (2026)

Spectral properties of the Dirichlet-to-Neumann map for the Helmholtz equation
by: Grebenkov, Denis S., et al.
Published: (2026)

Nodal Deficiency of Neumann Eigenfunctions on a Symmetric Dumbbell Domain
by: Beck, Thomas, et al.
Published: (2026)

On the isoperimetric and isodiametric inequalities and the minimisation of eigenvalues of the Laplacian
by: Farrington, Sam
Published: (2023)

Quantitative Kröger inequalities for Neumann eigenvalues of convex domains
by: Bucur, Dorin, et al.
Published: (2026)

An isoperimetric inequality for the second Robin eigenvalue of the Weighted Laplacian
by: Gao, Yi, et al.
Published: (2026)

A hot spots theorem for the mixed eigenvalue problem with small Dirichlet region
by: Hatcher, Lawford
Published: (2024)

Homogenization of an indefinite spectral problem arising in population genetics
by: Aiyappan, Srinivasan, et al.
Published: (2025)

Spectral inequalities for weighted $p$-Laplacians via Talenti symmetrization
by: Bartoli, Giulio, et al.
Published: (2026)

On the optimal sets in Pólya and Makai type inequalities
by: Amato, Vincenzo, et al.
Published: (2024)

Relative trace formulas for obstacle scattering with Neumann and transmission boundary conditions
by: Hofmann, Arne, et al.
Published: (2026)

Isoperimetric inequalities for Neumann eigenvalues on bounded domains in rank-1 symmetric spaces
by: Meng, Yifeng, et al.
Published: (2022)

The Neumann sieve problem revisited
by: Khrabustovskyi, Andrii
Published: (2024)

$H^2$-regularity on convex domains for Robin eigenfunctions with parameter of arbitrary sign
by: Lamberti, Pier Domenico, et al.
Published: (2025)

A sharp quantitative nonlinear Poincaré inequality on convex domains
by: Amato, Vincenzo, et al.
Published: (2024)

Hot spots in domains of constant curvature
by: Hatcher, Lawford
Published: (2025)

On Courant-type bounds and spectral partitioning via Neumann domains on quantum graphs
by: Baptista, Luís, et al.
Published: (2025)

The Eigenvalue Problem for the Laplacian via Conformal Mapping and the Gohberg--Sigal Theory
by: Beceanu, Marius, et al.
Published: (2021)

Peculiar behavior of the principal Laplacian eigenvalue for large negative Robin parameters
by: Dietze, Charlotte, et al.
Published: (2024)

The hot spots conjecture for some non-convex polygons
by: Hatcher, Lawford
Published: (2024)

Symmetry of fractional Neumann eigenfunctions in the ball
by: Bobkov, Vladimir, et al.
Published: (2026)

Reverse Faber-Krahn and Szego-Weinberger type inequalities for annular domains under Robin-Neumann boundary conditions
by: Anoop, T. V., et al.
Published: (2023)