Sharp spectral bounds on starlike domains

DOI10.4171/JST/71zbMath1296.35099arXiv1209.1058MaRDI QIDQ402284

Bartłomiej A. Siudeja, Richard Snyder Laugesen

Publication date: 27 August 2014

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

Full work available at URL: https://arxiv.org/abs/1209.1058

zbMATH Keywords

eigenvaluespartition functionLaplacianspectral zeta functionheat tracespectral bounds

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Inequalities and extremum problems involving convexity in convex geometry (52A40) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

A sharp upper bound for the first Dirichlet eigenvalue of a class of wedge-like domains ⋮ From Steklov to Neumann and Beyond, via Robin: The Szegő Way ⋮ Generalized tight \(p\)-frames and spectral bounds for Laplace-like operators ⋮ Steklov eigenvalues and quasiconformal maps of simply connected planar domains ⋮ Magnetic spectral bounds on starlike plane domains

Cites Work

• On Rayleigh's formula for the first Dirichlet eigenvalue of a radial perturbation of a ball
• On the lowest eigenvalue of Laplace operators with mixed boundary conditions
• On the asymptotic behaviour of the eigenvalues of a Robin problem.
• A variational approach to the isoperimetric inequality for the Robin eigenvalue problem
• A set function defined for convex plane domains
• Sloshing frequencies
• On a partial differential equation involving the Jacobian determinant
• Rearrangements and convexity of level sets in PDE
• A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
• A general rearrangement inequality for multiple integrals
• A Faber-Krahn inequality for Robin problems in any space dimension
• Eigenvalue inequalities for mixed Steklov problems
• On high spots of the fundamental sloshing eigenfunctions in axially symmetric domains
• A sharp upper bound for the first Dirichlet eigenvalue and the growth of the isoperimetric constant of convex domains
• ‘High spots’ theorems for sloshing problems
• On an Isoperimetric Inequality for the First Eigenvalue of a Boundary Value Problem
• Liquid Sloshing Dynamics
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