n/p-Harmonic maps: regularity for the sphere case

Details n/p-Harmonic maps: regularity for the sphere case n/p-Harmonic maps: regularity for the sphere case

2012-02-06

arxiv.org/abs/1202.1151v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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