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We classify nonconstant entire local minimizers of the standard Ginzburg–Landau functional for maps in satisfying a natural energy bound. Up to translations and rotations,such solutions of the Ginzburg–Landau system are given by an explicit solution equivariant under
the action of the orthogonal group.
Homogenization of integral functionals is studied
under the constraint that admissible maps have to take their values
into a given smooth manifold. The notion of tangential
homogenization is defined by analogy with the tangential
quasiconvexity introduced by Dacorogna [ (1999) 185–206]. For energies with superlinear or linear growth, a
-convergence result is established in Sobolev spaces, the
homogenization problem in the space of functions of bounded
variation being the object of [Babadjian...
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