Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates

DOI10.4171/JST/355zbMath1480.35148arXiv1907.11097OpenAlexW3181715623MaRDI QIDQ2247205

Elvise Berchio, Alessio Falocchi

Publication date: 17 November 2021

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.11097

zbMATH Keywords

spectrumpartially hinged plates

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) General topics in linear spectral theory for PDEs (35P05) Plates (74K20)

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Cites Work

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• A partially hinged rectangular plate as a model for suspension bridges
• Maximization of the first eigenvalue in problems involving the bi-Laplacian
• An isoperimetric inequality for fundamental tones of free plates
• Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions
• Extremal eigenvalue problems for composite membranes. I
• A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions
• A minimaxmax problem for improving the torsional stability of rectangular plates
• Symmetry and rigidity for the hinged composite plate problem
• Eigenvalues of elliptic operators with density
• Mathematical models for suspension bridges. Nonlinear structural instability
• Minimizing eigenvalues for inhomogeneous rods and plates
• Which Residual Mode Captures the Energy of the Dominating Mode in Second Order Hamiltonian Systems?
• Steiner symmetry in the minimization of the first eigenvalue in problems involving the 𝑝-Laplacian
• On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate
• Eigenvalues of Elliptic Boundary Value Problems With an Indefinite Weight Function
• The Minimum Ratio of Two Eigenvalues
• Symmetry in the composite plate problem
• On the first frequency of reinforced partially hinged plates
• Periodic Solutions and Torsional Instability in a Nonlinear Nonlocal Plate Equation
• A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations
• A note on the Neumann eigenvalues of the biharmonic operator
• Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes

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