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Local regularity properties of almost- and quasiminimal sets with a sliding boundary condition
We study the boundary regularity of almost minimal and quasiminimal sets that satisfy sliding boundary conditions. The competitors of a set E are defined as F= 1(E), where { t} is a one parameter family of continuous mappings defined on E, and that preserve a given collection of boundary pieces. We...
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| Auteur principal : | |
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| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Local regularity properties of almost- and quasiminimal sets with a sliding boundary condition / Guy David |
| Publié : |
Paris :
Société Mathématique de France
, 2019 |
| Description matérielle : | 1 vol. (VIII-377 p.) |
| Collection : | Astérisque ; 411 |
| Sujets : | |
| Documents associés : | Autre format:
Local regularity properties of almost- and quasiminimal sets with a sliding boundary condition Fait partie de l'ensemble: Astérisque |
| Résumé : | We study the boundary regularity of almost minimal and quasiminimal sets that satisfy sliding boundary conditions. The competitors of a set E are defined as F= 1(E), where { t} is a one parameter family of continuous mappings defined on E, and that preserve a given collection of boundary pieces. We generalize known interior regularity results, and in particular we show that the quasiminimal sets are locally Ahlfors-regular, rectifiable, and some times uniformly rectifiable, that our classes are stable under limits, and that for almost minimal sets the density of Hausdorff measure in balls centered on the boundary is almost nondecreasing. [4ème de couv.] |
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| Notes : | Résumé en anglais et en français |
| Historique des publications : | N° de : "Astérisque", ISSN 0303-1179, (2019) n° 411 |
| Bibliographie : | Bibliogr. p. [375]-377. Index |
| ISBN : | 978-2-85629-906-7 |