n/p-Harmonic maps: regularity for the sphere case
Analysis of PDEs
2013-01-23 v1
Abstract
We introduce n/p-harmonic maps as critical points of E(v) the Lp-Norm of the alpha-laplacian of v, where pointwise v maps Rn into a sphere, and alpha = n/p. This energy combines the non-local behaviour of the fractional harmonic maps introduced by Riviere and the first author with the degenerate arguments of the n-laplacian. In this setting, we will prove Holder continuity.
Keywords
Cite
@article{arxiv.1202.1151,
title = {n/p-Harmonic maps: regularity for the sphere case},
author = {Francesca Da Lio and Armin Schikorra},
journal= {arXiv preprint arXiv:1202.1151},
year = {2013}
}