Weighted Chui's conjecture
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910209670119424 |
|---|---|
| author | Doubtsov, Evgueni Tselishchev, Anton Vasilyev, Ioann |
| author_facet | Doubtsov, Evgueni Tselishchev, Anton Vasilyev, Ioann |
| contents | The goals of this paper are threefold. First, we show that a counterpart of the Newman bound related to the Chui conjecture is valid in the case where the gradient of Coulomb potential is generated by arbitrary positive charges placed at the boundary of a unit ball. Second, we prove that our bound is sharp in the two-dimensional case. Finally, we discuss a related problem, where the unit charges are placed in the unit disc. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05233 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weighted Chui's conjecture Doubtsov, Evgueni Tselishchev, Anton Vasilyev, Ioann Classical Analysis and ODEs 30E20 The goals of this paper are threefold. First, we show that a counterpart of the Newman bound related to the Chui conjecture is valid in the case where the gradient of Coulomb potential is generated by arbitrary positive charges placed at the boundary of a unit ball. Second, we prove that our bound is sharp in the two-dimensional case. Finally, we discuss a related problem, where the unit charges are placed in the unit disc. |
| title | Weighted Chui's conjecture |
| topic | Classical Analysis and ODEs 30E20 |
| url | https://arxiv.org/abs/2603.05233 |