Pohozaev identities for weak solutions of Grushin type p-sub-Laplacian equation via domain variations
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908468693172224 |
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| author | Wei, Yawei Zhou, Xiaodong |
| author_facet | Wei, Yawei Zhou, Xiaodong |
| contents | In this paper, we study Pohozaev identities for weak solutions of degenerate elliptic equations involving Grushin type p-sub-Laplacian under only $C^1$-regularity assumption. By using domain variations, we obtain the local Pohozaev identities of translating type and scaling type. As an application, a global Pohozaev identity of scaling type in $\mathbb{R}^{N+l}$ is also derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19913 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pohozaev identities for weak solutions of Grushin type p-sub-Laplacian equation via domain variations Wei, Yawei Zhou, Xiaodong Analysis of PDEs 35A22, 35J20, 35J70 In this paper, we study Pohozaev identities for weak solutions of degenerate elliptic equations involving Grushin type p-sub-Laplacian under only $C^1$-regularity assumption. By using domain variations, we obtain the local Pohozaev identities of translating type and scaling type. As an application, a global Pohozaev identity of scaling type in $\mathbb{R}^{N+l}$ is also derived. |
| title | Pohozaev identities for weak solutions of Grushin type p-sub-Laplacian equation via domain variations |
| topic | Analysis of PDEs 35A22, 35J20, 35J70 |
| url | https://arxiv.org/abs/2507.19913 |