English

Singular solutions to the Yamabe equation with prescribed asymptotics

Analysis of PDEs 2019-09-24 v1 Differential Geometry

Abstract

We study positive solutions of the Yamabe equation with isolated singularity and prove the existence of solutions with prescribed asymptotic expansions near singular points and an arbitrarily high order of approximation.

Keywords

Cite

@article{arxiv.1909.10131,
  title  = {Singular solutions to the Yamabe equation with prescribed asymptotics},
  author = {Qing Han and Yichao Li},
  journal= {arXiv preprint arXiv:1909.10131},
  year   = {2019}
}