The asymptotic behavior of Palais–Smale sequences on manifolds with boundary
Sérgio de Moura Almaraz · Pacific Journal of Mathematics · 2014
We describe the asymptotic behavior of Palais-Smale sequences associated to certain Yamabe-type equations on manifolds with boundary.We prove that each of those sequences converges to a solution of the limit equation plus a finite number of "bubbles" which are obtained by rescaling fundamental solutions of the corresponding Euclidean equations.