Minimizing sequences of Sobolev inequalities revisited
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916789219229696 |
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| author | Dietze, Charlotte Nam, Phan Thành |
| author_facet | Dietze, Charlotte Nam, Phan Thành |
| contents | We give a new proof of the compactness of minimizing sequences of the Sobolev inequalities in the critical case. Our approach relies on a simplified version of the concentration-compactness principle, which does not require any refinement of the Sobolev embedding theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08616 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimizing sequences of Sobolev inequalities revisited Dietze, Charlotte Nam, Phan Thành Analysis of PDEs Mathematical Physics We give a new proof of the compactness of minimizing sequences of the Sobolev inequalities in the critical case. Our approach relies on a simplified version of the concentration-compactness principle, which does not require any refinement of the Sobolev embedding theorem. |
| title | Minimizing sequences of Sobolev inequalities revisited |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2412.08616 |