Number of nodal domains of eigenfunctions on non-positively curved surfaces with concave boundary (Q261407)

The authors prove that the number of nodal domains tends to infinity along a subsequence of \(\Delta_g\)-eigenvalues on a Riemannian manifold \((M,g)\) that is a non-positively curved surface with concave boundary. A significant aspect of this work is that the involved surfaces \(M\) need not have any symmetry.