Key points are not available for this paper at this time.
Given a closed Riemannian manifold (M, g), we use the gradient flow method and Sign-Changing Critical Point Theory to prove multiplicity results for 2-nodal solutions of a subcritical non-linear equation on (M, g), see yam-nodal-1 below. If (N, h) is a closed Riemannian manifold of constant positive scalar curvature our result gives multiplicity results for the Yamabe-type equation on the Riemannian product (M N, g + h), for > 0 small.
Ortiz et al. (Sat,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: