Extremal eigenvalues of the Dirichlet biharmonic operator on rectangles

DOI10.1090/proc/14792zbMath1439.35156arXiv1908.06483OpenAlexW2980619572MaRDI QIDQ5212415

Davide Buoso, Pedro Freitas

Publication date: 29 January 2020

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

Full work available at URL: https://arxiv.org/abs/1908.06483

zbMATH Keywords

eigenvaluesisoperimetric inequalitybiharmonic operatorshape optimisationrectangles

Mathematics Subject Classification ID

Plates (74K20) Estimates of eigenvalues in context of PDEs (35P15) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Higher-order elliptic equations (35J30)

Related Items (2)

Spectral Optimization of Inhomogeneous Plates ⋮ The buckling eigenvalue problem in the annulus

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