J. Petean

activity

19962026

most citedIndefinite Kaehler-Einstein metrics on Compact Complex Surfaces

41 citations · 62 across the 31 of their papers we have counts for

collaborators

35 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.AP2024

Nodal solutions to Paneitz-type equations

Jurgen Julio-Batalla, Jimmy Petean

On a closed Riemannian manifold $(M^{n}, g)$ with a proper isoparametric function $f$ we consider the equation $Δ^{2} u - α Δ u + β u = u^{q}$ , where $α$ and $β$ are positive constants satisf…

math.DG2023

Global bifurcation for Paneitz type equations and constant Q-curvature metrics

Jurgen Julio-Batalla, Jimmy Petean

We consider the Paneitz-type equation $Δ^{2} u - α Δ u + β (u - u^{q}) = 0$ on a closed Riemannian manifold $(M, g)$ . We reduce the equation to a fourth-order ordinary differential equation as…

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.DG2023

Multiplicity results for constant Q-curvature conformal metrics

Salomón Alarcón, Jimmy Petean, Carolina Rey

We prove that certain subcritical Paneitz-Branson type equations on a closed Riemannian manifold $(M, g)$ have at least $Cat (M)$ positIve solutions, where $Cat (M)$ …