4 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…
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 $- Î_αu= Vu…