Salom'on Alarc'on

collaborators

3 papers

math.AP2025

Concentration on the Boundary and Sign-Changing Solutions for a Slightly Subcritical Biharmonic Problem

Salomón Alarcón, Jorge Faya, Carolina Rey

We consider the fourth-order nonlinear elliptic problem: \begin{equation*} \begin{array}{ll} Δ(a(x)Δu) = a(x) \left\vert u \right\vert^{p-2-ε} u \ \text{ in } \ Ω, \hspace{0.6cm} u…

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 on the Boundary and Sign-Changing Solutions for a Slightly Subcritical Biharmonic Problem

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