5 papers · 1 filter
Equivariant Allen--Cahn Solutions and the Existence of Cohomogeneity Minimal Surfaces
Rayssa Caju, Pedro Gaspar, Jared Marx-Kuo
We develop a regularity theory for equivariant Allen--Cahn solutions on closed Riemannian manifolds with a Lie group acting isometrically. When the cohomogeneity of the action is b…
Multiple Blow-Up Phenomena for -Curvature in High Dimensions
Rayssa Caju, Almir Silva Santos
Let be a closed Riemannian manifold of dimension with positive Yamabe invariant and positive fourth-order invariant . We show that,…
Quantitative Stability for Yamabe minimizers on manifolds with boundary
BenjamÃn Borquez, Rayssa Caju, Hanne Van Den Bosch
This paper addresses the quantitative stability for a Yamabe-type functional on compact manifolds with boundary introduced by Escobar. Minimizers of the functional correspond to sc…
An end to end gluing construction for metrics of constant Q-curvature
A. Sophie Aiken, Rayssa Caju, Jesse Ratzkin +1
We produce many new complete, constant Q-curvature metrics on finitely punctured spheres by gluing together known examples. In our construction we truncate one end of each summand…
Blow-up analysis of Large conformal metrics with prescribed Gaussian and geodesic curvatures
Rayssa Caju, Tiarlos Cruz, Almir Silva Santos
Consider a compact Riemannian surface with nonempty boundary and negative Euler characteristic. Given two smooth non-constant functions in and in w…