Non-degeneracy and new type of cylindrial solutions for a critical Grushin-type problem
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914855753089024 |
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| author | Gao, Yuan Guo, Yuxia Zhou, Ning |
| author_facet | Gao, Yuan Guo, Yuxia Zhou, Ning |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02084 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-degeneracy and new type of cylindrial solutions for a critical Grushin-type problem Gao, Yuan Guo, Yuxia Zhou, Ning Analysis of PDEs Differential Geometry 35A01, 35B09, 35B33 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. |
| title | Non-degeneracy and new type of cylindrial solutions for a critical Grushin-type problem |
| topic | Analysis of PDEs Differential Geometry 35A01, 35B09, 35B33 |
| url | https://arxiv.org/abs/2407.02084 |