A sharp monomial Caffarelli-Kohn-Nirenberg inequality
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866918308154966016 |
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| author | Pagliarin, Francesco |
| author_facet | Pagliarin, Francesco |
| contents | We consider a monomial Caffarelli-Kohn-Nirenberg inequality, find the optimal constant and classify the optimizers under an integrated curvature dimension condition. We take advantage of the $Γ$-calculus to exploit geometrical techniques to tackle the problem and regularity results to justify some integration by parts. A symmetry-breaking result is also provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19359 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A sharp monomial Caffarelli-Kohn-Nirenberg inequality Pagliarin, Francesco Analysis of PDEs 35B65, 35A15, 35A23, 53C21 We consider a monomial Caffarelli-Kohn-Nirenberg inequality, find the optimal constant and classify the optimizers under an integrated curvature dimension condition. We take advantage of the $Γ$-calculus to exploit geometrical techniques to tackle the problem and regularity results to justify some integration by parts. A symmetry-breaking result is also provided. |
| title | A sharp monomial Caffarelli-Kohn-Nirenberg inequality |
| topic | Analysis of PDEs 35B65, 35A15, 35A23, 53C21 |
| url | https://arxiv.org/abs/2601.19359 |