The asymptotic behavior of Palais-Smale sequences on manifolds with boundary
arXiv:1508.01058 · doi:10.2140/pjm.2014.269-1
Abstract
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.
16 pages. The content of this paper was previously included in the appendix of arXiv:1206.1184 but it has been published as a separate paper