English

Isoparametric functions and nodal solutions of the Yamabe equation

Differential Geometry 2019-05-23 v2 Analysis of PDEs

Abstract

We prove existence results for nodal solutions of the Yamabe equation that are constant along the level sets of an isoparametric function.

Keywords

Cite

@article{arxiv.1807.00727,
  title  = {Isoparametric functions and nodal solutions of the Yamabe equation},
  author = {Guillermo Henry},
  journal= {arXiv preprint arXiv:1807.00727},
  year   = {2019}
}

Comments

23 pages, minor changes. To appear in Annals of Global Analysis and Geometry