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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2509.12023 |
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| _version_ | 1866912700627419136 |
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| author | Carbotti, Alessandro |
| author_facet | Carbotti, Alessandro |
| contents | In this survey we present the fractional Polya Szego principle and its main consequences in the study of nonlocal functional inequalities. In particular, we show how symmetrization methods work also in the fractional setting and yield sharp results such as isoperimetric type inequalities. Further developments including stability issues and generalizations in the anisotropic and the Gaussian setting are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12023 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Polya-Szego principle in the fractional setting: a glimpse on nonlocal functional inequalities Carbotti, Alessandro Analysis of PDEs 35R11 In this survey we present the fractional Polya Szego principle and its main consequences in the study of nonlocal functional inequalities. In particular, we show how symmetrization methods work also in the fractional setting and yield sharp results such as isoperimetric type inequalities. Further developments including stability issues and generalizations in the anisotropic and the Gaussian setting are also discussed. |
| title | The Polya-Szego principle in the fractional setting: a glimpse on nonlocal functional inequalities |
| topic | Analysis of PDEs 35R11 |
| url | https://arxiv.org/abs/2509.12023 |