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arXiv · 2409.07334

Blow-up analysis and degree theory for the Webster curvature prescription problem in three dimensions

Claudio Afeltra
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Abstract

Given a strictly pseudoconvex CR manifold $M$ of dimension three and positive CR Yamabe class, and a positive smooth function $K:M\to\mathbf{R}$ verifying some mild and generic hypotheses, we prove the compactness of the set of solutions of the Webster curvature prescription problem associated to $K$, and we compute the Leray-Schauder degree in terms of the critical points of $K$. As a corollary, we get an existence result which generalizes the ones existent in the literature.

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Claudio Afeltra. 2024-09-11. Blow-up analysis and degree theory for the Webster curvature prescription problem in three dimensions. https://arxiv.org/abs/2409.07334

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