Eigenfunctions of Krein-Feller operators on bounded domains of Riemannian manifolds satisfy the Courant nodal bound and are continuous under mild dimension conditions.
Anderson, On the topology of complete manifolds of non-negative Ricci curvature, Topology 91 (1990), 41–55
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Nodal sets and continuity of eigenfunctions of Krein-Feller operators on Riemannian manifolds
Eigenfunctions of Krein-Feller operators on bounded domains of Riemannian manifolds satisfy the Courant nodal bound and are continuous under mild dimension conditions.