Cover Image

On the optimal sets in Pólya and Makai type inequalities

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Amato, Vincenzo, Gavitone, Nunzia, Sannipoli, Rossano
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs Spectral Theory 35P15, 49Q10, 35J05, 35J25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Geometrical bounds for the torsion and the first eigenvalue of the Laplacian with Robin boundary condition
by: Barbato, Rosa, et al.
Published: (2026)

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

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

On some functionals involving torsional rigidity, principal eigenvalue and perimeter
by: Amato, Vincenzo, et al.
Published: (2026)

A reverse Faber-Krahn inequality for the magnetic Laplacian
by: Colbois, Bruno, et al.
Published: (2024)

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

Optimal domains for the Cheeger inequality
by: Buttazzo, Giuseppe
Published: (2024)

Isoperimetric inequality with zero magnetic field in doubly connected domains
by: Ghosh, Mrityunjoy, et al.
Published: (2025)

Small-hole minimization of the first Dirichlet eigenvalue in a square with two hard obstacles
by: Schneider, Baruch, et al.
Published: (2026)

On functionals involving the $p$-capacity and the $q$-torsional rigidity
by: Berg, Michiel van den, et al.
Published: (2024)

Relations between principal eigenvalue and torsional rigidity with Robin boundary conditions
by: Buttazzo, Giuseppe, et al.
Published: (2025)

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

On a weighted anisotropic eigenvalue problem
by: Gavitone, Nunzia, et al.
Published: (2024)

The Makai inequality in higher dimensions: qualitative and quantitative aspects
by: Amato, Vincenzo, et al.
Published: (2026)

One-dimensional optimisation of indefinite-weight principal eigenvalues under inhomogeneous Robin conditions and a Schrödinger-type perturbation
by: Schneider, Baruch, et al.
Published: (2025)

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

A note on the maximization of the first Dirichlet eigenvalue for perforated planar domains
by: Dias, Manuel
Published: (2024)

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

A phase-field version of the Faber--Krahn theorem
by: Hüttl, Paul, et al.
Published: (2022)

Sharp bounds and geometric properties of the first non trivial Steklov Neumann Eigenvalue
by: Basak, Sagar, et al.
Published: (2026)

Optimal domains for the Cheeger inequality
by: Bucur, Dorin, et al.
Published: (2025)

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

Sharp inequalities and asymptotics for polyharmonic eigenvalues
by: Buoso, Davide, et al.
Published: (2025)

A stability result for the Steklov Laplacian Eigenvalue Problem with a spherical obstacle
by: Paoli, Gloria, et al.
Published: (2020)

Spectral minimal partitions of unbounded domains
by: Hofmann, Matthias, et al.
Published: (2025)

The geometric size of the fundamental gap
by: Amato, Vincenzo, et al.
Published: (2024)

On eigenvibrations of branched structures with heterogeneous mass density
by: Golovaty, Yuriy, et al.
Published: (2025)

The cut-off resolvent can grow arbitrarily fast in obstacle scattering
by: Chandler-Wilde, Simon N., et al.
Published: (2025)

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

Isoperimetric inequalities for the fractional composite membrane problem
by: Ghosh, Mrityunjoy
Published: (2025)

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

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

On the isoperimetric inequality for the first positive Neumann eigenvalue on the sphere
by: Provenzano, Luigi, et al.
Published: (2026)

On the second Dirichlet eigenvalue of some nonlinear anisotropic elliptic operators
by: Della Pietra, Francesco, et al.
Published: (2017)

On the classical Reinforcement problem and Optimisation
by: Cristoforoni, Emanuele, et al.
Published: (2026)

Remarks on the reinforcement of the spectrum of an elliptic problem with Robin boundary condition
by: Cristoforoni, Emanuele, et al.
Published: (2025)

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

Cylindrical estimates for the Cheeger constant and applications
by: Pratelli, Aldo, et al.
Published: (2024)

Spectral convergence for the Reissner-Mindlin system in arbitrary dimension
by: Buoso, Davide, et al.
Published: (2024)

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