Isoparametric functions and nodal solutions of the Yamabe equation
Guillermo Henry
TL;DR
This paper establishes the existence of nodal solutions to the Yamabe equation that are constant on the level sets of isoparametric functions, advancing understanding of geometric PDEs.
Contribution
It introduces new existence results for nodal solutions of the Yamabe equation linked to isoparametric functions, a novel approach in geometric analysis.
Findings
Existence of nodal solutions constant on isoparametric level sets
Extension of Yamabe problem solutions to isoparametric functions
New methods for solving geometric PDEs involving isoparametric functions
Abstract
We prove existence results for nodal solutions of the Yamabe equation that are constant along the level sets of an isoparametric function.
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