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).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/7158
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