The main goal of this paper is to characterize the weak limits of sequences of smooth maps from a Riemannian manifold into S1. 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 S1 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 / M. GIAQUINTA; G. MODICA; J. SOUCEK. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 1:(1993), pp. 87-121. [10.1007/BF02163266]

Variational problems for maps of bounded variation with values in S^1

GIAQUINTA, MARIANO;MODICA, GIUSEPPE;
1993

Abstract

The main goal of this paper is to characterize the weak limits of sequences of smooth maps from a Riemannian manifold into S1. 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 S1 satisfying Dirchlet and homological conditions are then discussed. The so called dipole problem is solved, too.
1993
1
87
121
M. GIAQUINTA; G. MODICA; J. SOUCEK
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/347021
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