1 citations · 2 across the 4 of their papers we have counts for
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Asymptotic behavior of -capacities and singular perturbations for the Dirichlet-Laplacian
Laura Abatangelo, Virginie Bonnaillie-Noël, Corentin Léna +1
In this paper we study the asymptotic behavior of -capacities of small sets and its application to the analysis of the eigenvalues of the Dirichlet-Laplacian on a bounded planar…
On simple eigenvalues of the fractional Laplacian under removal of small fractional capacity sets
Laura Abatangelo, Veronica Felli, Benedetta Noris
We consider the eigenvalue problem for the restricted fractional Laplacian in a bounded domain with homogeneous Dirichlet boundary conditions. We introduce the notion of fractional…
Eigenvalue variation under moving mixed Dirichlet-Neumann boundary conditions and applications
Laura Abatangelo, Veronica Felli, Corentin Léna
We deal with the sharp asymptotic behaviour of eigenvalues of elliptic operators with varying mixed Dirichlet-Neumann boundary conditions. In case of simple eigenvalues, we compute…
Sharp boundary behavior of eigenvalues for Aharonov-Bohm operators with varying poles
Laura Abatangelo, Veronica Felli, Benedetta Noris +1
In this paper, we investigate the behavior of the eigenvalues of a magnetic Aharonov-Bohm operator with half-integer circulation and Dirichlet boundary conditions in a bounded plan…
On the leading term of the eigenvalue variation for Aharonov-Bohm operators with a moving pole
Laura Abatangelo, Veronica Felli
We study the behavior of eigenvalues for magnetic Aharonov-Bohm operators with half-integer circulation and Dirichlet boundary conditions in a planar domain. We analyse the leading…
Sharp asymptotic estimates for eigenvalues of Aharonov-Bohm operators with varying poles
Laura Abatangelo, Veronica Felli
We investigate the behavior of eigenvalues for a magnetic Aharonov-Bohm operator with half-integer circulation and Dirichlet boundary conditions in a planar domain. We provide shar…