On the nodal lines of second eigenfunctions of the free membrane problem

DOI10.1080/00036819108840041zbMath0739.35046OpenAlexW4237666695WikidataQ58263992 ScholiaQ58263992MaRDI QIDQ4711106

Rolf Pütter

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1080/00036819108840041

zbMATH Keywords

Neumann boundary condition

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Plates (74K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

A toy Neumann analogue of the nodal line conjecture ⋮ On mixed Dirichlet-Neumann eigenvalues of triangles

Cites Work

• On the nodal lines of second eigenfunctions of the fixed membrane problem
• Eigenfunctions and nodal sets
• Lower Bounds for Vibration Frequencies of Elastically Supported Membranes and Plates
• Remarks on the Second Eigenvalue of a Symmetric Simply Connected Plane Region

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