8 citations · 10 across the 10 of their papers we have counts for
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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…
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…
Ramification of multiple eigenvalues for the Dirichlet-Laplacian in perforated domains
Laura Abatangelo, Corentin Léna, Paolo Musolino
Taking advantage from the so-called "Lemma on small eigenvalues" by Colin de Verdière, we study ramification for multiple eigenvalues of the Dirichlet Laplacian in bounded perforat…