3 papers
math.AP2025
A CR structure with blowing up solutions to the CR Yamabe problem
Claudio Afeltra, Andrea Pinamonti
We prove the existence of a CR structure on such that the set of solutions to the CR Yamabe problem is not compact and admits a blowing-up sequence. Such CR structure is buil…
math.CV2024
Blow-up analysis and degree theory for the Webster curvature prescription problem in three dimensions
Claudio Afeltra
Given a strictly pseudoconvex CR manifold of dimension three and positive CR Yamabe class, and a positive smooth function verifying some mild and generic hyp…
math.AP2020
Singular solutions of the Yamabe problem in the Heisenberg group and their bifurcation
Claudio Afeltra
We prove the existence of a homogeneous singular solution of the critical equation on the Heisenberg group , where is the \textit{homogeneous…