A Struwe-type Decomposition Result for Weighted Critical $p$-Laplace Equations
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929550430044160 |
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| author | Chernysh, Edward |
| author_facet | Chernysh, Edward |
| contents | We establish Struwe-type decompositions of Palais-Smale sequences for a class of critical $p$-Laplace equations of the Caffarelli-Kohn-Nirenberg type in a bounded domain $Ω\subset\mathbb{R}^n$, $n\ge2$, containing the origin. In doing so, we highlight important differences introduced by the weights and require new rescaling laws to account for this new framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14861 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Struwe-type Decomposition Result for Weighted Critical $p$-Laplace Equations Chernysh, Edward Analysis of PDEs 35J92 (Primary) 35B33, 35J60 (Secondary) We establish Struwe-type decompositions of Palais-Smale sequences for a class of critical $p$-Laplace equations of the Caffarelli-Kohn-Nirenberg type in a bounded domain $Ω\subset\mathbb{R}^n$, $n\ge2$, containing the origin. In doing so, we highlight important differences introduced by the weights and require new rescaling laws to account for this new framework. |
| title | A Struwe-type Decomposition Result for Weighted Critical $p$-Laplace Equations |
| topic | Analysis of PDEs 35J92 (Primary) 35B33, 35J60 (Secondary) |
| url | https://arxiv.org/abs/2410.14861 |