The buckling eigenvalue problem in the annulus

Davide Buoso; Enea Parini

doi:10.1142/S0219199720500443

The buckling eigenvalue problem in the annulus

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Abstract

We consider the buckling eigenvalue problem for a clamped plate in the annulus. We identify the first eigenvalue in dependence of the inner radius, and study the number of nodal domains of the corresponding eigenfunctions. Moreover, in order to investigate the asymptotic behavior of eigenvalues and eigenfunctions as the inner radius approaches the outer one, we provide an analytical study of the buckling problem in rectangles with mixed boundary conditions.

Original language	English
Article number	2050044
Journal	Communications in Contemporary Mathematics
Volume	23
Issue number	4
DOIs	https://doi.org/10.1142/S0219199720500443
Publication status	Published - Jun 2021
Externally published	Yes

Keywords

Bilaplacian
Buckling problem
annulus
eigenvalues
positive eigenfunctions

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10.1142/S0219199720500443

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title = "The buckling eigenvalue problem in the annulus",

abstract = "We consider the buckling eigenvalue problem for a clamped plate in the annulus. We identify the first eigenvalue in dependence of the inner radius, and study the number of nodal domains of the corresponding eigenfunctions. Moreover, in order to investigate the asymptotic behavior of eigenvalues and eigenfunctions as the inner radius approaches the outer one, we provide an analytical study of the buckling problem in rectangles with mixed boundary conditions.",

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author = "Davide Buoso and Enea Parini",

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AU - Parini, Enea

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AB - We consider the buckling eigenvalue problem for a clamped plate in the annulus. We identify the first eigenvalue in dependence of the inner radius, and study the number of nodal domains of the corresponding eigenfunctions. Moreover, in order to investigate the asymptotic behavior of eigenvalues and eigenfunctions as the inner radius approaches the outer one, we provide an analytical study of the buckling problem in rectangles with mixed boundary conditions.

KW - Bilaplacian

KW - Buckling problem

KW - annulus

KW - eigenvalues

KW - positive eigenfunctions

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U2 - 10.1142/S0219199720500443

DO - 10.1142/S0219199720500443

M3 - Article

SN - 0219-1997

VL - 23

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

IS - 4

M1 - 2050044

ER -

The buckling eigenvalue problem in the annulus

Abstract

Keywords

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