De Lellis, Camillo; Spadaro, Emanuele Nunzio (2016). Regularity of area minimizing currents III: blow-up. Annals of Mathematics. Second Series, 183(2):577-617.
This is the last of a series of three papers in which we give a new, shorter proof of a slightly improved version of Almgren’s partial regularity of area minimizing currents in Riemannian manifolds. Here we perform a blow-up analysis deducing the regularity of area minimizing currents from that of Dir-minimizing multiple valued functions.
This is the last of a series of three papers in which we give a new, shorter proof of a slightly improved version of Almgren’s partial regularity of area minimizing currents in Riemannian manifolds. Here we perform a blow-up analysis deducing the regularity of area minimizing currents from that of Dir-minimizing multiple valued functions.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Statistics, Probability and Uncertainty |
| Language: | English |
| Date: | 2016 |
| Deposited On: | 10 Aug 2016 08:24 |
| Last Modified: | 16 Nov 2023 08:01 |
| Publisher: | Mathematical Sciences Publishers |
| ISSN: | 0003-486X |
| OA Status: | Closed |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.4007/annals.2016.183.2.3 |
De Lellis, Camillo