2 papers
math.SP2026
Upper bounds for Courant-sharp Neumann and Robin eigenvalues
Katie Gittins, Corentin Léna
We consider the eigenvalues of the Laplacian on an open, bounded, connected set in with boundary, with a Neumann boundary condition or a Robin boundary conditi…
math.SP2025
Pleijel's theorem for Schrödinger operators
Philippe Charron, Corentin Léna
We are concerned in this paper with the real eigenfunctions of Schrödinger operators. We prove an asymptotic upper bound for the number of their nodal domains, which implies in pa…