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} Î(a(x)Îu) = a(x) \left\vert u \right\vert^{p-2-ε} u \ \text{ in } \ Ω, \hspace{0.6c…
math.DG2025
Einstein multiply warped products and generalized Kasner manifolds with multidimensional base
Fernando Dobarro, Carolina Rey
The purpose of this paper is to provide conditions for the existence or non existence of non trivial Einstein multiply warped products, specially of generalised Kasner type; as wel…
math.DG2024
Concentration Phenomena for Conformal Metrics with Constant -Curvature
Salomón Alarcón, Simón Masnú, Pedro Montero +1
Let be an analytic Riemannian manifold of dimension . In this paper, we consider the so-called constant -curvature equation \[ \varepsilon^4Î_{g}^2 u -\vareps…