@article{10902/36387,
year = {2025},
url = {https://hdl.handle.net/10902/36387},
abstract = {We deal with a spectral problem for the Laplace-Beltrami operator posed on a stratified set  which is composed of smooth surfaces joined along a line  the junction. Through this junction we impose the Kirchhoff-type vertex conditions, which imply the continuity of the solutions and some balance for normal derivatives, and Neumann conditions on the rest of the boundary of the surfaces. Assuming that the density is O(m) along small bands of width O, which collapse into the line  as  tends to zero, and it is O(1) outside these bands, we address the asymptotic behavior, as 0, of the eigenvalues and of the corresponding eigenfunctions for a parameter m1. We also study the asymptotics for high frequencies when m(1,2).},
organization = {This work has been partially supported by Grant PID2022-137694NB-I00 funded by MICIU/AEI/
10.13039/501100011033 and by ERDF/EU.},
publisher = {Academic Press Inc.},
publisher = {Journal of Mathematical Analysis and Applications, 2025, 549(2), 129586},
title = {On eigenvibrations of branched structures with heterogeneous mass density},
author = {Golovaty, Yuriy and Gómez Gandarillas, Delfina and Pérez Martínez, María Eugenia},
}