A note on $n$-axially symmetric harmonic maps from $B^3$ to $S^2$ minimizing the relaxed energy
Analysis of PDEs
2015-07-29 v2 Differential Geometry
Abstract
For any n>1 we give an explicit example of an n-axially symmetric Cartesian current in B^3 x S^2 with non-trivial vertical part and non-constant graph part minimizing the relaxed Dirichlet energy among the n-axially symmetric Cartesian currents with the same boundary. This stands in sharp contrast with a results of Hardt, Lin and Poon for the case n=1.
Cite
@article{arxiv.1011.5440,
title = {A note on $n$-axially symmetric harmonic maps from $B^3$ to $S^2$ minimizing the relaxed energy},
author = {Luca Martinazzi},
journal= {arXiv preprint arXiv:1011.5440},
year = {2015}
}
Comments
17 pages