Given any 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 Yamabe type equation on (M,g). If
(N,h) is a closed Riemannian manifold of constant positive scalar curvature
our result gives multiplicity results for the type Yamabe equation on the
Riemannian product (MxN,g+ϵh), for ϵ>0 small