Carolina Rey

activity

20162023

most citedMultipeak solutions for the Yamabe equation

2 citations · 2 across the 4 of their papers we have counts for

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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★ 2 cited

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…