Interior partial regularity for minimal Lp-vectorfields with integer fluxes
Differential Geometry
2012-07-11 v2 Analysis of PDEs
Abstract
We use a new combinatorial technique to prove the optimal interior partial regularity result for Lp-vectorfields with integer fluxes minimizing the Lp-energy. More precisely, we prove that the minimal vectorfields are H\"older outside a set which is locally finite inside the domain. The results continue the program started in collaboration with Tristan Rivi\`ere, but this paper is self-contained.
Cite
@article{arxiv.1204.0209,
title = {Interior partial regularity for minimal Lp-vectorfields with integer fluxes},
author = {Mircea Petrache},
journal= {arXiv preprint arXiv:1204.0209},
year = {2012}
}
Comments
36 pages, 6 figures. Some typos corrected, style made more fluent, improved end of proof p. 18-19