Efficiency and localisation for the first Dirichlet eigenfunction

DOI10.4171/JST/363zbMath1485.35166arXiv1905.06591OpenAlexW2964376512MaRDI QIDQ2078203

Nunzia Gavitone, Francesco Della Pietra, Giuseppina di Blasio, Michiel van den Berg

Publication date: 28 February 2022

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.06591

zbMATH Keywords

efficiencylocalisationfirst Dirichlet eigenfunction

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Spectral theory and eigenvalue problems for partial differential equations (35P99)

Related Items (3)

Mean-to-max ratio of the torsion function and honeycomb structures ⋮ On efficiency and localisation for the torsion function ⋮ On torsional rigidity and ground-state energy of compact quantum graphs

Cites Work

• Unnamed Item
• On Pólya's inequality for torsional rigidity and first Dirichlet eigenvalue
• On the asymptotics of the heat equation and bounds on traces associated with the Dirichlet Laplacian
• Maximum principles and their applications
• Some inequalities for planar convex figures
• A reverse Hölder inequality for the eigenfunctions of linear second order elliptic operators
• On the ground state eigenfunction of a convex domain in Euclidean space
• Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle
• Sharp bounds for eigenvalues of triangles
• Geometrical Structure of Laplacian Eigenfunctions
• Properties of the Green's Functions of Some Schrödinger Operators
• Eigenvalues of the Laplacian in Two Dimensions
• On the mean value of the fundamental mode in the fixed membrane problem
• The size of the first eigenfunction of a convex planar domain
• Computing Spectra without Solving Eigenvalue Problems
• Dirichlet Eigenfunctions for Horn-Shaped Regions and Laplacians on Cross Sections
• Localization of eigenfunctions via an effective potential
• A free boundary problem for the localization of eigenfunctions
• On Spectra of Second-Order Differential Operators

This page was built for publication: Efficiency and localisation for the first Dirichlet eigenfunction