Calibrated Reifenberg With Holes
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909779053510656 |
|---|---|
| author | Bertolini, Susanna Preti, Alessandro Valtorta, Daniele |
| author_facet | Bertolini, Susanna Preti, Alessandro Valtorta, Daniele |
| contents | In this article, we study a calibrated version of Reifenberg theorem "with holes". In particular we study sets that are suitably approximable at all points and scales by calibrated planes and show that, without any additional hypotheses on $β$-numbers, this implies measure upper bounds and rectifiability. This article follows the main techniques introduced in a previous article, but it allows for holes in the sets under consideration, and is more self-contained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07731 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Calibrated Reifenberg With Holes Bertolini, Susanna Preti, Alessandro Valtorta, Daniele Analysis of PDEs In this article, we study a calibrated version of Reifenberg theorem "with holes". In particular we study sets that are suitably approximable at all points and scales by calibrated planes and show that, without any additional hypotheses on $β$-numbers, this implies measure upper bounds and rectifiability. This article follows the main techniques introduced in a previous article, but it allows for holes in the sets under consideration, and is more self-contained. |
| title | Calibrated Reifenberg With Holes |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.07731 |