带边界流形上Yamabe问题的线性扰动
偏微分方程分析
2017-01-20 v3 微分几何
摘要
我们针对带边界流形上的Yamabe问题的线性扰动构造爆破解,前提是流形维数且第二基本形式的无迹部分在边界上处处非零。
引用
@article{arxiv.1611.01336,
title = {Linear perturbation of the Yamabe problem on manifolds with boundary},
author = {Marco Ghimenti and Anna Maria Micheletti and Angela Pistoia},
journal= {arXiv preprint arXiv:1611.01336},
year = {2017}
}