De Pauw, Thierry; Züst, Roger (2019). Partial regularity of almost minimizing rectifiable G chains in Hilbert space. American journal of mathematics, 141(6), pp. 1591-1705. Johns Hopkins University Press 10.1353/ajm.2019.0044
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We adapt to an infinite dimensional ambient space E.R. Reifenberg's epiperimetric inequality and a quantitative version of D. Preiss' second moments computations to establish that the set of regular points of an almost mass minimizing rectifiable G chain in ℓ₂ is dense in its support, whenever the group G of coefficients is so that {∥g∥:g∈G} is discrete and closed.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Züst, Roger |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0002-9327 |
Publisher: |
Johns Hopkins University Press |
Language: |
English |
Submitter: |
Michel Arthur Bik |
Date Deposited: |
17 Feb 2020 14:47 |
Last Modified: |
05 Dec 2022 15:36 |
Publisher DOI: |
10.1353/ajm.2019.0044 |
ArXiv ID: |
1602.06941 |
BORIS DOI: |
10.7892/boris.139948 |
URI: |
https://boris.unibe.ch/id/eprint/139948 |
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