Estimates for sums of eigenvalues of the free plate with nonzero Poisson’s ratio

DOI10.1090/proc/15444zbMath1461.35170arXiv2007.07833OpenAlexW3113365167MaRDI QIDQ5856972

Jing Mao, Shan Li

Publication date: 30 March 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.07833

zbMATH Keywords

Fourier transformbi-Laplace operatorfree plate problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Estimates of eigenvalues in context of PDEs (35P15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

Estimates for eigenvalues of the Neumann and Steklov problems

Cites Work

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• An isoperimetric inequality for fundamental tones of free plates
• Estimates for sums of eigenvalues of the Laplacian
• Estimates for sums of eigenvalues of the free plate via the Fourier transform
• An isoperimetric inequality for fundamental tones of free plates with nonzero Poisson’s ratio
• NOTE TO MY PAPER “ON MEMBRANES AND PLATES”
• Some upper bounds for sums of eigenvalues of the Neumann Laplacian
• On Membranes and Plates

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