COMMUNICATIONS IN ANALYSIS AND GEOMETRY, v. 29, no. 2, page. 363-407
Abstract
Given an asymptotically hyperbolic manifold with minimal conformal infinity, we construct blowing-up solutions for linear perturbations of the fractional Yamabe problem on the conformal infinity provided that either the trace-free part of the second fundamental form or the covariant normal derivative of the normal component of the Ricci tensor on the conformal infinity is non-trivial.