12 citations · 27 across the 22 of their papers we have counts for
25 papers
Qualitative properties of eigenfunctions in domains with small holes
Laura Abatangelo, Massimo Grossi, Ying Li
In this paper we study qualitative properties of the eigenvalues and eigenfunctions of with Dirichlet boundary condition in a smooth bounded domain with a small circular h…
Corrigendum to "Ramification of multiple eigenvalues for the Dirichlet-Laplacian in perforated domains" published in Journal of Functional Analysis 283 (2022) 109718
Laura Abatangelo, Corentin Léna, Paolo Musolino
We fix the proof of Theorem 1.17 in the quoted reference, which does not in general gives the correct coefficients in the asymptotic behavior of eigenvalues for the Dirichlet Lapla…
Bifurcation of double eigenvalues for Aharonov-Bohm operators with a moving pole
Laura Abatangelo, Veronica Felli
We study double eigenvalues of Aharonov-Bohm operators with Dirichlet boundary conditions in planar domains containing the origin. We focus on the behavior of double eigenvalues wh…
On solutions to a class of degenerate equations with the Grushin operator
Laura Abatangelo, Alberto Ferrero, Paolo Luzzini
The Grushin Laplacian is a degenerate elliptic operator in that degenerates on . We consider weak solutions of in…
Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: the higher dimensional case
Laura Abatangelo, Corentin Léna, Paolo Musolino
We provide a full series expansion of a generalization of the so-called -capacity related to the Dirichlet-Laplacian in dimension three and higher, extending previous results of…
Sharp behavior of Dirichlet--Laplacian eigenvalues for a class of singularly perturbed problems
Laura Abatangelo, Roberto Ognibene
We deepen the study of Dirichlet eigenvalues in bounded domains where a thin tube is attached to the boundary. As its section shrinks to a point, the problem is spectrally stable a…