分数阶 Yamabe 问题奇异解的定性性质
偏微分方程分析
2023-04-13 v3
摘要
在本文中，我们关注 中具有孤立奇点的分数阶 Yamabe 问题解的定性性质。特别地，我们证明了任意此类解的 Morse 指数为无穷大。证明使用了 Emden-Fowler 型变换，从而我们可以将其转化为在 上提出的非局部一维问题。
引用
@article{arxiv.2207.09886,
title = {Qualitative Properties of Singular Solutions to the Fractional Yamabe Problem},
author = {Sergio Cruz-Blázquez and Azahara DelaTorre and David Ruiz},
journal= {arXiv preprint arXiv:2207.09886},
year = {2023}
}
备注
16 pages; several typos and misprints have been corrected, current address for S. C-B. has been added