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
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 | Dimensione | Formato | |
|---|---|---|---|
|
GMM07.pdf
Accesso riservato
Dimensione
438.37 kB
Formato
Adobe PDF
|
438.37 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
