On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set-Reference-Cited by-同舟云学术

On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set

Published:2023-01-11 Issue:3 Volume:55 Page:1154-1177
ISSN:0024-6093
Container-title:Bulletin of the London Mathematical Society
language:en
Short-container-title:Bulletin of London Math Soc

Author:

Ferraresso Francesco¹,Provenzano Luigi²

Affiliation:

1. School of Mathematics Cardiff University Cardiff UK

2. Dipartimento di Sicenze di Base e Applicate per l'Ingegneria Sapienza Università di Roma Rome Italy

Abstract

AbstractLet be a bounded domain in with smooth boundary , and let be the set of points in whose distance from the boundary is smaller than . We prove that the eigenvalues of the biharmonic operator on with Neumann boundary conditions converge to the eigenvalues of a limiting problem in the form of a system of differential equations on .

Funder

Engineering and Physical Sciences Research Council

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1112/blms.12781

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