TITLE

# The relaxed Dirichlet energy of mappings into a manifold

AUTHOR(S)
Giaquinta, Mariano; Mucci, Domenico
PUB. DATE
October 2005
SOURCE
Calculus of Variations & Partial Differential Equations;Oct2005, Vol. 24 Issue 2, p155
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
Let ${\user1{\mathcal{Y}}}$ be a smooth 1-connected compact oriented manifold without boundary, such that its 2-homology group has no torsion. We characterize in any dimension n the weak $W^{{1,2}} (B^{n} ,{\user1{\mathcal{Y}}})$ lower semicontinuous envelope of the Dirichlet integral of Sobolev maps in $W^{{1,2}} (B^{n} ,{\user1{\mathcal{Y}}})$.
ACCESSION #
18140574

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