Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results

DOI10.1007/s12220-022-00955-7zbMath1491.35298arXiv1907.02252OpenAlexW2955133272WikidataQ114221011 ScholiaQ114221011MaRDI QIDQ2672969

Bruno Colbois, Luigi Provenzano

Publication date: 13 June 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.02252

zbMATH Keywords

eigenvaluesRiemannian manifoldsNeumann boundary conditionsbiharmonic operatorspectral geometryeigenvalue bounds

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (4)

Spectral Optimization of Inhomogeneous Plates ⋮ Pseudomodes for Biharmonic Operators with Complex Potentials ⋮ On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set ⋮ Positive solutions of biharmonic elliptic problems with a parameter

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