带边流形上Palais-Smale序列的渐近行为
微分几何
2015-08-06 v1 偏微分方程分析
摘要
我们描述了带边流形上与某些Yamabe型方程相关的Palais-Smale序列的渐近行为。我们证明，这些序列中的每一个都收敛于极限方程的一个解加上有限个由相应欧氏方程的基本解重新标度而得到的“气泡”。
引用
@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}
}
备注
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