Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities

Assume that (X,g+) is an asymptotically hyperbolic manifold with conformal infinity (M,[hˆ]). We construct positive and sign-changing bubble-tower solutions to low-order perturbations of γ-Yamabe equations (0<γ<1) on (M,hˆ). These solutions exhibit isolated but non-simple blow-up in the sense of Schoen [30].