Explicit minimisers for anisotropic Riesz energies
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911323603861504 |
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| author | Frank, Rupert L. Mateu, Joan Mora, Maria Giovanna Rondi, Luca Scardia, Lucia Verdera, Joan |
| author_facet | Frank, Rupert L. Mateu, Joan Mora, Maria Giovanna Rondi, Luca Scardia, Lucia Verdera, Joan |
| contents | In this paper we describe explicitly the energy minimisers of a class of nonlocal interaction energies where the attraction is quadratic, and the repulsion is Riesz-like and anisotropic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11644 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Explicit minimisers for anisotropic Riesz energies Frank, Rupert L. Mateu, Joan Mora, Maria Giovanna Rondi, Luca Scardia, Lucia Verdera, Joan Analysis of PDEs 31A15 (primary), 49K20 (secondary) In this paper we describe explicitly the energy minimisers of a class of nonlocal interaction energies where the attraction is quadratic, and the repulsion is Riesz-like and anisotropic. |
| title | Explicit minimisers for anisotropic Riesz energies |
| topic | Analysis of PDEs 31A15 (primary), 49K20 (secondary) |
| url | https://arxiv.org/abs/2504.11644 |