Semiclassical bounds for spectra of biharmonic operators

We provide complementary semiclassical bounds for the Riesz means R1(z) of the eigenvalues of various biharmonic operators, with a second term in the expected power of z. The method we discuss makes use of the averaged variational principle (AVP), and yields two-sided bounds for individual eigenvalu...

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Bibliographic Details
Main Authors: Davide Buoso, Luigi Provenzano, Joachim Stubbe
Format: Article
Language:English
Published: Sapienza Università Editrice 2022-06-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2022(4)/267-314.pdf