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We prove the Pleijel theorem in non-collapsed RCD spaces, providing anasymptotic upper bound on the number of nodal domains of Laplacianeigenfunctions. As a consequence, we obtain that the Courant nodal domaintheorem holds except at most for a finite number of eigenvalues. More ingeneral, we show that the same result is valid for Neumann (resp. Dirichlet)eigenfunctions on uniform domains (resp. bounded open sets). This is new evenin the Euclidean space, where the Pleijel theorem in the Neumann case was openunder low boundary-regularity.

Pleijel nodal domain theorem in non-smooth setting