The main goal of this paper is to characterize the weak limits of sequences of smooth maps from a Riemannian manifold into S j. This is achieved in terms of Cartesian currents. Applications to the existence of minimizers of area type functionals in the class of maps with values in S 1 satisfying Dirchlet and homological conditions are then discussed. The so called dipole problem is solved, too.
Variational problems for maps of bounded variation with values in S^1
GIAQUINTA, Mariano;
1993
Abstract
The main goal of this paper is to characterize the weak limits of sequences of smooth maps from a Riemannian manifold into S j. This is achieved in terms of Cartesian currents. Applications to the existence of minimizers of area type functionals in the class of maps with values in S 1 satisfying Dirchlet and homological conditions are then discussed. The so called dipole problem is solved, too.File in questo prodotto:
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