The asymptotic behavior of Palais-Smale sequences on manifolds with boundary
Differential Geometry
2015-08-06 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1508.01058,
title = {The asymptotic behavior of Palais-Smale sequences on manifolds with boundary},
author = {Sergio Almaraz},
journal= {arXiv preprint arXiv:1508.01058},
year = {2015}
}
Comments
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