New type of solutions for a critical Grushin-type problem with competing potentials

2024/06/29 by Wenjing Chen, Chen, Wenjing, Zexi Wang +1
Engineering · Mathematics · #35B09 #35B33 #35J15 #Analysis of PDEs (math.AP) #Elasticity and Wave Propagation #FOS: Mathematics #Mathematical Analysis and Transform Methods #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.2407.00353

openalex publication_date 2024/06/29 · openalex created_date 2024/07/04 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider a critical Grushin-type problem with double potentials. By applying the reduction argument and local Pohouzaev 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.

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