Preprint

Inserted: 26 jan 2025
Last Updated: 26 jan 2025

Year: 2025

Abstract:

We prove the existence of a CR structure on $S^3$ such that the set of solutions to the CR Yamabe problem is not compact and admits a blowing-up sequence. Such CR structure is built deforming the standard CR structure of $S^3$ in the direction of the Rossi sphere CR structure on small balls, and the existence of the blowing-up sequence of solutions is proved through the Lyapunov-Schmidt method.

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• Controesempio_alla_compattezza_per_il_problema_di_Yamabe_CR.pdf