Accepted Paper
Inserted: 21 nov 2010
Last Updated: 17 jul 2018
Journal: Journal Funct. Anal.
Year: 2011
Abstract:
For any n>1 we give an explicit example of an n-axially symmetric Cartesian current in B3 x S2 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.
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