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Perturbed eigenvalues of polyharmonic operators in domains with small holes

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Main Authors: Veronica, Felli, Giulio, Romani
Format: Article
Language:English
Published: Springer 2023
Subjects:
polyharmonic operator
homogeneous Dirichlet and Navier conditions
Online Access:https://link.springer.com/article/10.1007/s00526-023-02467-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7484
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spelling oai:localhost:PNK-74842023-04-04T04:33:47Z Perturbed eigenvalues of polyharmonic operators in domains with small holes Veronica, Felli Giulio, Romani polyharmonic operator homogeneous Dirichlet and Navier conditions CC BY We study singular perturbations of eigenvalues of the polyharmonic operator on bounded domains under removal of small interior compact sets. We consider both homogeneous Dirichlet and Navier conditions on the external boundary, while we impose homogeneous Dirichlet conditions on the boundary of the removed set. To this aim, we develop a notion of capacity which is suitable for our higher-order context, and which permits to obtain a description of the asymptotic behaviour of perturbed simple eigenvalues in terms of a capacity of the removed set, in dependence of the respective normalized eigenfunction. 2023-04-04T04:33:47Z 2023-04-04T04:33:47Z 2023 Article Book https://link.springer.com/article/10.1007/s00526-023-02467-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7484 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic polyharmonic operator
homogeneous Dirichlet and Navier conditions
spellingShingle polyharmonic operator
homogeneous Dirichlet and Navier conditions
Veronica, Felli
Giulio, Romani
Perturbed eigenvalues of polyharmonic operators in domains with small holes
description CC BY
format Article
author Veronica, Felli
Giulio, Romani
author_facet Veronica, Felli
Giulio, Romani
author_sort Veronica, Felli
title Perturbed eigenvalues of polyharmonic operators in domains with small holes
title_short Perturbed eigenvalues of polyharmonic operators in domains with small holes
title_full Perturbed eigenvalues of polyharmonic operators in domains with small holes
title_fullStr Perturbed eigenvalues of polyharmonic operators in domains with small holes
title_full_unstemmed Perturbed eigenvalues of polyharmonic operators in domains with small holes
title_sort perturbed eigenvalues of polyharmonic operators in domains with small holes
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00526-023-02467-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7484
_version_ 1762274898848251904
score 8.891787

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