Rigidity of balls in the solid mean value property for polyharmonic functions
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866918380909363200 |
|---|---|
| author | Abatangelo, Nicola |
| author_facet | Abatangelo, Nicola |
| contents | We show that balls are the only open bounded domains for which the mean value formula for polyharmonic functions holds. We do so by adapting an argument of Ü. Kuran for harmonic functions. Also, we provide a quantitative version of the same result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09409 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Rigidity of balls in the solid mean value property for polyharmonic functions Abatangelo, Nicola Analysis of PDEs We show that balls are the only open bounded domains for which the mean value formula for polyharmonic functions holds. We do so by adapting an argument of Ü. Kuran for harmonic functions. Also, we provide a quantitative version of the same result. |
| title | Rigidity of balls in the solid mean value property for polyharmonic functions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.09409 |