Perturbed eigenvalues of polyharmonic operators in domains with small holes
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Springer
2023
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Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00526-023-02467-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7484 |
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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 |
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1762274898848251904 |
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8.891787 |