Salom'on Alarc'on

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20232025

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math.DG2024

Concentration Phenomena for Conformal Metrics with Constant $Q$ -Curvature

Salomón Alarcón, Simón Masnú, Pedro Montero +1

Let $(M, g)$ be an analytic Riemannian manifold of dimension $n \geq 5$ . In this paper, we consider the so-called constant $Q$ -curvature equation \[ \varepsilon^4Δ_{g}^2 u -\varepsi…

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 $Cat (M)$ …

Concentration Phenomena for Conformal Metrics with Constant Q-Curvature

Multiplicity results for constant Q-curvature conformal metrics

Concentration Phenomena for Conformal Metrics with Constant $Q$ -Curvature