G. Henry

activity

20082026

most citedIsoparametric functions and nodal solutions of the Yamabe equation

6 citations · 16 across the 12 of their papers we have counts for

collaborators

15 papers

math.DG2026

Interface foliation near a minimal isoparametric hypersurface for the Allen-Cahn equation

Guillermo Henry, Jimmy Petean

Let $(M, g)$ be a closed Riemannian manifold of positive Ricci curvature. Let $f$ be a proper isoparametric function on $M$ , and $Γ$ the unique level set of $f$ which is a minimal h…

math.AP2025

On solutions to Hardy-Sobolev equations on Riemannian manifolds

Guillermo Henry, Jimmy Petean

Let $(M, g)$ be a closed Riemannian manifold of dimension at least $3$ . Let $S$ be the union of the focal submanifolds of an isoparametric function on $(M, g)$ . In this article we ad…

math.DG2023

Negative eingenvalues of the conformal Laplacian

Guillermo Henry, Jimmy Petean

Let $M$ be a closed differentiable manifold of dimension at least $3$ . Let $Λ_{0} (M)$ be the minimun number of non-positive eigenvalues that the conformal Laplacian of a metric on $…

math.DG2022

Isoparametric functions and solutions of Yamabe type equations on manifolds with boundary

Guillermo Henry, Juan Zuccotti

Let $(M, g)$ be a compact Riemannian manifold with non-empty boundary. Provided $f$ an isoparametric function of $(M, g)$ we prove existence results for positive solutions of the Yam…

math.DG2018★ 6 cited

Isoparametric functions and nodal solutions of the Yamabe equation

Guillermo Henry

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

math.DG2016

The Equivariant Second Yamabe Constant

Guillermo Henry, Farid Madani

For a closed Riemannian manifold of dimension $n \geq 3$ and a subgroup $G$ of the isometry group, we define and study the $G -$ equivariant second Yamabe constant and we obtain some…