Regularity of n/2-harmonic maps into spheres

Details Regularity of n/2-harmonic maps into spheres Regularity of n/2-harmonic maps into spheres

2010-03-02

arxiv.org/abs/1003.0646v2

Mathematics

Analysis of PDEs

some details added, some errors removed. new introduction

Scientific paper

We prove Hoelder continuity for n/2-harmonic maps from subsets of Rn into a sphere. This extends a recent one-dimensional result by F. Da Lio and T. Riviere to arbitrary dimensions. The proof relies on compensation effects which we quantify adapting an approach for Wente's inequality by L. Tartar, instead of Besov-space arguments which were used in the one-dimensional case. Moreover, fractional analogues of Hodge decomposition and higher order Poincare inequalities as well as several localization effects for nonlocal operators similar to the fractional laplacian are developed and applied.

Affiliated with

Also associated with

No associations

Rating

Regularity of n/2-harmonic maps into spheres does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Regularity of n/2-harmonic maps into spheres, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regularity of n/2-harmonic maps into spheres will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-664244