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arXiv · 2407.02084

Non-degeneracy and new type of cylindrial solutions for a critical Grushin-type problem

Yuan Gao·Yuxia Guo·Ning Zhou
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Abstract

In this paper, we consider a critical Grushin-type problem, which is closely related to the prescribed Webster scalar curvature problems on the CR sphere with cylindrically symmetric curvature. We first prove a non-degeneracy result through local Pohozaev identities, then by using the Lyapunov-Schmidt reduction methods, we construct new type of multi-bubbling solutions with cylindrical symmetry.

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Yuan Gao, Yuxia Guo, Ning Zhou. 2024-07-02. Non-degeneracy and new type of cylindrial solutions for a critical Grushin-type problem. https://arxiv.org/abs/2407.02084

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