The Dirichlet energy of Sobolev mappings between Riemannian manifolds is studied. After giving an explicit formula of the polyconvex extension of the energy for currents between manifolds, we prove a strong density result. As a consequence, we give an explicit formula for the relaxed energy. The fractional space of traces of W ^(1,2)-mappings is also treated.
The relaxed Dirichlet energy of manifold constrained mappings / Giaquinta, M.; Modica, G.; Mucci, Domenico. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 1:1(2008), pp. 1-51. [10.1515/ACV.2008.001]
The relaxed Dirichlet energy of manifold constrained mappings
MUCCI, Domenico
2008-01-01
Abstract
The Dirichlet energy of Sobolev mappings between Riemannian manifolds is studied. After giving an explicit formula of the polyconvex extension of the energy for currents between manifolds, we prove a strong density result. As a consequence, we give an explicit formula for the relaxed energy. The fractional space of traces of W ^(1,2)-mappings is also treated.File in questo prodotto:
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