Some estimates for the symmetrized first eigenfunction of the Laplacian

DOI10.1023/A:1017997125764zbMath0930.35044OpenAlexW43968552MaRDI QIDQ1275358

Tilak Bhattacharya, Allen Weitsman

Publication date: 24 January 2000

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1017997125764

zbMATH Keywords

Laplace operatormaximal solutionradially nonincreasing rearrangement

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Some stability estimates for the symmetrized first eigenfunction of certain elliptic operators ⋮ Linear stability implies nonlinear stability for Faber-Krahn-type inequalities ⋮ A proof of the Faber-Krahn inequality for the first eigenvalue of the \(p\)-Laplacian ⋮ Sharp Estimates for Eigenfunctions of a Neumann Problem

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