arXiv Analytics

Sign in

arXiv:2006.13279 [math.AP]AbstractReferencesReviewsResources

Isolated singularities of solutions to the Yamabe equation in dimension $6$

Jingang Xiong, Lei Zhang

Published 2020-06-23Version 1

We study the asymptotic behavior of local solutions to the Yamabe equation near an isolated singularity, when the metric is not conformally flat. We prove that, in dimension $6$, any solution is asymptotically close to a Fowler solution, which is an extension of the same result for lower dimensions by F.C. Marques in 2008.

Comments: 20 pages
Categories: math.AP, math.DG
Subjects: 58J05
Related articles: Most relevant | Search more
arXiv:0911.0234 [math.AP] (Published 2009-11-02)
Asymptotic behavior of solutions to the $σ_k$-Yamabe equation near isolated singularities
arXiv:0910.0595 [math.AP] (Published 2009-10-04, updated 2010-06-04)
Determining nodes for semilinear parabolic equations
arXiv:1208.3007 [math.AP] (Published 2012-08-15, updated 2012-10-11)
Asymptotic Behavior of Solutions to the Liquid Crystal System in $H^m(\mathbb{R}^3)$

Links

Toolbox