New type of solutions for a critical Grushin-type problem with competing potentials
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929404164177920 |
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| author | Chen, Wenjing Wang, Zexi |
| author_facet | Chen, Wenjing Wang, Zexi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00353 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New type of solutions for a critical Grushin-type problem with competing potentials Chen, Wenjing Wang, Zexi Analysis of PDEs 35J15, 35B09, 35B33 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. |
| title | New type of solutions for a critical Grushin-type problem with competing potentials |
| topic | Analysis of PDEs 35J15, 35B09, 35B33 |
| url | https://arxiv.org/abs/2407.00353 |