2 papers
math.SP2026
Capacity estimates and improved lower bounds for the inner radius of nodal domains
Philippe Charron
We show that for every closed, smooth manifold of dimension , there exists such that any nodal domain of a Laplace eigenfunction with eigenvalue cont…
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…