Asymptotic behavior of Palais–Smale sequences associated with fractional Yamabe-type equations
Yi Fang, María del Mar González Nogueras · Pacific Journal of Mathematics · 2015
In this paper, we analyze the asymptotic behavior of Palais-Smale sequences associated to fractional Yamabe-type equations on an asymptotically hyperbolic Riemannian manifold.We prove that Palais-Smale sequences can be decomposed into the solution of the limit equation plus a finite number of bubbles, which are the rescaling of the fundamental solution for the fractional Yamabe equation on Euclidean space.We also verify the noninterfering fact for multibubbles.