Fundamental tones of clamped plates in nonpositively curved spaces

DOI10.1016/j.aim.2020.107113zbMath1445.35265arXiv1909.02350OpenAlexW3012266168MaRDI QIDQ2173717

Alexandru Kristály

Publication date: 17 April 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.02350

zbMATH Keywords

hypergeometric functionnonpositive curvaturefundamental toneclamped plateLord Rayleigh's isoperimetric problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Variational methods for higher-order elliptic equations (35J35)

Related Items (4)

Lord Rayleigh's conjecture for vibrating clamped plates in positively curved spaces ⋮ Numerical method for two-dimensional linearly elastic clamped plate model ⋮ Towards the optimality of the ball for the Rayleigh conjecture concerning the clamped plate ⋮ Inequalities for eigenvalues of fourth-order elliptic operators in divergence form on complete Riemannian manifolds

Uses Software

• DLMF

Cites Work

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