New type of solutions for a critical Grushin-type problem with competing potentials
Analysis of PDEs
2024-07-02 v1
Abstract
In this paper, we consider a critical Grushin-type problem with double potentials. By applying the reduction argument and local Poho\u{z}aev identities, we construct a new family of solutions to this problem, which are concentrated at points lying on the top and the bottom circles of a cylinder.
Cite
@article{arxiv.2407.00353,
title = {New type of solutions for a critical Grushin-type problem with competing potentials},
author = {Wenjing Chen and Zexi Wang},
journal= {arXiv preprint arXiv:2407.00353},
year = {2024}
}