Sign-changing bubble towers for asymptotically critical elliptic equations on Riemannian manifolds

Given a smooth compact Riemannian n-manifold g), we consider the equation triangle gu + hu = vertical bar u vertical bar(2*-2-epsilon)u, where h is a C-1-function on M. the exponent 2* := 2n/(n - 2) is the critical Sobolev exponent, and c is a small positive real parameter such that epsilon -> 0. We prove the existence of blowing-up families of sign-changing solutions which develop bubble towers at some point where the function h is greater than the Yamabe potential n-2/4(n-1) SCalg. (C) 2013 Elsevier Inc. All rights reserved.