1,721,113 research outputs found
Remarks on the degree theory
No full textIn this paper we present several remarks concerning the degree of maps and currents
The Dirichlet energy of mappings with values into the sphere
No full textWe discuss the relaxed functional of the Dirichlet energy. We
also prove partial regularity of minimizers and concentration of the
gradient on singular lines
Functionals with linear growth in the Calculus of Variations II
No full textThis part is the direct continuation of the preceding
paper in this issue
Dirichlet energy of maps with values in S^2
No full textWe discuss the convergence of minimizers of some perturbations of the Dirichlet energy of maps with values in S^2
Variational problems for maps of bounded variation with values in S^1
No full textThe 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
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