Carolina Rey

activity

20162023

collaborators

4 papers

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 $Cat (M)$ …

math.AP2022

Non-local equations and optimal Sobolev inequalities on compact manifolds

Carolina Rey, Nicolas Saintier

This paper deals with fractional Sobolev spaces on a compact Riemannian manifold. We prove a Sobolev inequality in the critical range with an optimal constant for these fractional…

math.AP2018

Multipeak solutions for the Yamabe equation

Carolina A. Rey, Juan Miguel Ruiz

Let $(M, g)$ be a closed Riemannian manifold of dimension $n \geq 3$ and $x_{0} \in M$ be an isolated local minimum of the scalar curvature $s_{g}$ of $g$ . For any positive integer $k$ w…

math.CA2016

Elliptic equations with critical exponent on a torus invariant region of $S^{3}$

Carolina A. Rey

We study the multiplicity of positive solutions of the critical elliptic equation: $Δ_{S^{3}} U = - (U^{5} + λ U) on Ω$ that vanish on the boundary of $Ω$ …

Multiplicity results for constant Q-curvature conformal metrics

Non-local equations and optimal Sobolev inequalities on compact manifolds

Multipeak solutions for the Yamabe equation

Elliptic equations with critical exponent on a torus invariant region of S3

Elliptic equations with critical exponent on a torus invariant region of $S^{3}$