Non-degeneracy and new type of cylindrial solutions for a critical Grushin-type problem
Analysis of PDEs
2024-07-03 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2407.02084,
title = {Non-degeneracy and new type of cylindrial solutions for a critical Grushin-type problem},
author = {Yuan Gao and Yuxia Guo and Ning Zhou},
journal= {arXiv preprint arXiv:2407.02084},
year = {2024}
}
Comments
32 pages, 0 figure