On the Behavior of Clamped Plates under Large Compression

DOI10.1137/19M1249606zbMath1429.35098arXiv1907.05052WikidataQ127254836 ScholiaQ127254836MaRDI QIDQ5197513

Pedro Freitas, Davide Buoso, Pedro R. S. Antunes

Publication date: 25 September 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05052

zbMATH Keywords

asymptoticseigenvaluesbiharmonic operatorextremal domainsplate with compressionplate with tension

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (3)

Positivity for the clamped plate equation under high tension ⋮ The buckling eigenvalue problem in the annulus ⋮ The Bilaplacian with Robin Boundary Conditions

Uses Software

• DLMF

Cites Work

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