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arXiv · 2610.14797

The CR Nirenberg Problem, Part I: Blow-up Analysis and Compactness

Jiechen Qiang·Zhongwei Tang·Heming Wang
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Abstract

We establish a priori estimates and compactness results for positive solutions of the CR Nirenberg problem under natural weighted flatness conditions. The proofs combine refined blow-up analysis, Pohozaev identities, and the complete classification of positive entire solutions to the critical CR Yamabe equation recently obtained by Li--Liu--Ma \cite{LLM2026} and Li \cite{L2026}. Existence and degree results are established in our subsequent paper \cite{QTWPartII}.

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Jiechen Qiang, Zhongwei Tang, Heming Wang. 2026-10-10. The CR Nirenberg Problem, Part I: Blow-up Analysis and Compactness. https://arxiv.org/abs/2610.14797

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