2 citations · 4 across the 10 of their papers we have counts for
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math.SP2015
Courant-sharp eigenvalues of the three-dimensional square torus
Corentin Léna
In this paper, we determine, in the case of the Laplacian on the flat three-dimensional torus , all the eigenvalues having an eigenfunction which satisfi…
math.AP2015
On the parity of the number of nodal domains for an eigenfunction of the Laplacian on tori
Corentin Léna
In this note, we discuss a question posed by T. Hoffmann-Ostenhof concerning the parity of the number of nodal domains for a non-constant eigenfunction of the Laplacian on flat tor…
math.AP2015
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…