paper

Isoparametric functions and nodal solutions of the Yamabe equation

arXiv:1807.00727 · doi:10.1007/s10455-019-09664-x

Abstract

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

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