Flow approach on Riesz type nonlocal energies
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916759237296128 |
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| author | He, Jiaxin Li, Qinfeng Wei, Juncheng Yang, Hang |
| author_facet | He, Jiaxin Li, Qinfeng Wei, Juncheng Yang, Hang |
| contents | Via continuous deformations based on natural flow evolutions, we prove several novel monotonicity results for Riesz-type nonlocal energies on triangles and quadrilaterals. Some of these results imply new and simpler proofs for known theorems without relying on any symmetrization arguments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19655 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Flow approach on Riesz type nonlocal energies He, Jiaxin Li, Qinfeng Wei, Juncheng Yang, Hang Analysis of PDEs Via continuous deformations based on natural flow evolutions, we prove several novel monotonicity results for Riesz-type nonlocal energies on triangles and quadrilaterals. Some of these results imply new and simpler proofs for known theorems without relying on any symmetrization arguments. |
| title | Flow approach on Riesz type nonlocal energies |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.19655 |