Let 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 W1,2(Bn, Y) lower semicontinuous envelope of the Dirichlet integral of Sobolev maps in W1,2(Bn, Y).
The relaxed Dirichlet energy of mappings into a manifold
GIAQUINTA, Mariano;
2005
Abstract
Let 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 W1,2(Bn, Y) lower semicontinuous envelope of the Dirichlet integral of Sobolev maps in W1,2(Bn, Y).File in questo prodotto:
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