Continuity of critical points for 1-dimensional non-local energies
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866918107783626752 |
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| author | Carazzato, Davide Fusco, Nicola Pratelli, Aldo |
| author_facet | Carazzato, Davide Fusco, Nicola Pratelli, Aldo |
| contents | In this paper we deal with the bounded critical points of a Riesz energy of attractive-repulsive type in dimension 1. Under suitable assumptions on the growth of the kernel in the origin, we are able to prove that they are continuous inside their support. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22721 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Continuity of critical points for 1-dimensional non-local energies Carazzato, Davide Fusco, Nicola Pratelli, Aldo Analysis of PDEs Functional Analysis In this paper we deal with the bounded critical points of a Riesz energy of attractive-repulsive type in dimension 1. Under suitable assumptions on the growth of the kernel in the origin, we are able to prove that they are continuous inside their support. |
| title | Continuity of critical points for 1-dimensional non-local energies |
| topic | Analysis of PDEs Functional Analysis |
| url | https://arxiv.org/abs/2507.22721 |