Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
57/2013

Regularity of area minimizing currents III: blow-up

Camillo De Lellis and Emanuele Spadaro

Abstract

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.

Received:
Jun 5, 2013
Published:
Jun 17, 2013

Related publications

inJournal
2016 Repository Open Access
Camillo De Lellis and Emanuele Spadaro

Regularity of area minimizing currents III : blow-up

In: Annals of mathematics, 183 (2016) 2, pp. 577-617