Semiclassical bounds for spectra of biharmonic operators

zbMath1495.35134arXiv1904.11877MaRDI QIDQ5094173

Joachim Stubbe, Davide Buoso, Luigi Provenzano

Publication date: 2 August 2022

Full work available at URL: https://arxiv.org/abs/1904.11877

zbMATH Keywords

eigenvalue asymptoticsRiesz meansbiharmonic operatoraveraged variational principlesemiclassical bounds for eigenvalues

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Eigenvalue problems for linear operators (47A75) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (3)

Estimates for eigenvalues of the Neumann and Steklov problems ⋮ Semiclassical estimates for eigenvalue means of Laplacians on spheres ⋮ The fractional \(p\)-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems

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