| dc.contributor.author | Gaudiello, Antonio | |
| dc.contributor.author | Gómez Gandarillas, Delfina | |
| dc.contributor.author | Pérez Martínez, María Eugenia | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2024-02-08T14:25:05Z | |
| dc.date.available | 2024-02-08T14:25:05Z | |
| dc.date.issued | 2023-05 | |
| dc.identifier.issn | 0944-2669 | |
| dc.identifier.issn | 1432-0835 | |
| dc.identifier.other | PGC2018-098178-B-I00 | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10902/31588 | |
| dc.description.abstract | We consider a 3d multi-structure composed of two joined perpendicular thin films: a vertical
one with small thickness han and a horizontal one with small thickness hbn. We study the
asymptotic behavior, as han and hbntend to zero, of an eigenvalue problem for the Laplacian
defined on this multi-structure. We shall prove that the limit problem depends on the value
q = limnhbnhan. Precisely, we pinpoint three different limit regimes according to q belonging to]0,+∞[, q equal to +∞, or q equal to 0.We identify the limit problems and we also obtain
H1-strong convergence results. | es_ES |
| dc.description.sponsorship | The work has partially been supported by Grant PGC2018-098178-B-I00 funded by MCIN and by "ERDF A way of making Europe" and by Grant Ref. 20.VP66.64662 funded by Gobierno de Cantabria-UC. | es_ES |
| dc.format.extent | 31 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Springer Nature | es_ES |
| dc.rights | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.source | Calculus of Variations and Partial Differential Equations, 2023, 62(4), 129 | es_ES |
| dc.title | A spectral problem for the Laplacian in joined thin films | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.1007/s00526-023-02464-z | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1007/s00526-023-02464-z | |
| dc.type.version | publishedVersion | es_ES |
Excepto si se señala otra cosa, la licencia del ítem se describe como This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
