@article{10902/31588,
year = {2023},
month = {5},
url = {https://hdl.handle.net/10902/31588},
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.},
organization = {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.},
publisher = {Springer Nature},
publisher = {Calculus of Variations and Partial Differential Equations, 2023, 62(4), 129},
title = {A spectral problem for the Laplacian in joined thin films},
author = {Gaudiello, Antonio and Gómez Gandarillas, Delfina and Pérez Martínez, María Eugenia},
}