2 citations · 3 across the 6 of their papers we have counts for
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Examples of spectral minimal partitions
Corentin Léna
We study a minimal partition problem on the flat rectangular torus. We give a partial review of the existing literature, and present some numerical and theoretical work recently pu…
On Aharonov-Bohm operators with two colliding poles
Laura Abatangelo, Veronica Felli, Corentin Lena
We consider Aharonov-Bohm operators with two poles and prove sharp asymptotics for simple eigenvalues as the poles collapse at an interior point out of nodal lines of the limit eig…
Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators
Laura Abatangelo, Veronica Felli, Luc Hillairet +1
We first establish a sharp relation between the order of vanishing of a Dirichlet eigenfunction at a point and the leading term of the asymptotic expansion of the Dirichlet eigenva…
Pleijel's nodal domain theorem for Neumann and Robin eigenfunctions
Corentin Léna
In this paper, we show that equality in Courant's nodal domain theorem can only be reached for a finite number of eigenvalues of the Neumann Laplacian, in the case of an open, boun…
Courant-sharp eigenvalues of a two-dimensional torus
Corentin Léna
In this paper, we determine, in the case of the Laplacian on the flat two-dimensional torus (R/Z) 2 , all the eigenvalues having an eigenfunction which satisfies Courant's theorem…