We characterize weak limits of sequences of smooth functions from B^n into suitable manifolds Y with equibounded W^{1/2}-energies, the relaxed W^{1/2}-energy and we prove strong density of smooth maps. We then obtain the weak sequential density of smooth maps in W^{1/2}(B^n,Y) and a criterion for strong density of smooth maps.
On sequences of maps into a manifold with equibounded W^{1/2}-energies / Giaquinta, M.; Mucci, Domenico. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 225:1(2005), pp. 94-146. [10.1016/j.jfa.2005.02.013]
On sequences of maps into a manifold with equibounded W^{1/2}-energies
MUCCI, Domenico
2005-01-01
Abstract
We characterize weak limits of sequences of smooth functions from B^n into suitable manifolds Y with equibounded W^{1/2}-energies, the relaxed W^{1/2}-energy and we prove strong density of smooth maps. We then obtain the weak sequential density of smooth maps in W^{1/2}(B^n,Y) and a criterion for strong density of smooth maps.File in questo prodotto:
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