The inner radius of nodal domains in high dimensions

Philippe Charron, Dan Mangoubi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We prove that every nodal domain of an eigenfunction of the Laplacian of eigenvalue λ on a d-dimensional closed Riemannian manifold contains a ball of radius [Formula presented]. This ball is centered at a point at which the eigenfunction attains its maximum in absolute value within the nodal domain.

Original languageEnglish
Article number109787
JournalAdvances in Mathematics
StatePublished - Aug 2024

Bibliographical note

Publisher Copyright:
© 2024 Elsevier Inc.


  • Inner radius
  • Nodal domains
  • Remez inequality


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