Blow up solutions for asimptotically critical elliptic equations on Riemannian manifolds

Given (M,g) a smooth, compact Riemannian n-manifold, we consider equations like \Delta_g u+hu = u^{2*-1-\eps} where \Delta_g is the laplace beltrami operator, h is a C^1 function on M, the exponent 2* = 2n/(n-2) is critical from the Sobolev viewpoint, and \eps is a small real parameter such that \eps -> 0. We prove the existence of blowing-up families of positive solutions in the subcritical and supercritical case when the graph of h is distinct at some point from the graph of (n-2)/(4n-4) Scal_g, Scal_g being the scalar curvature.