Homogenization of Variational Problems under Manifold Constraints
نویسنده
چکیده
Abstract. 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, Fonseca, Malý & Trivisa [18]. For energies with superlinear or linear growth, a Γ-convergence result is established in Sobolev spaces. In the case of energies with linear growth, the homogenization problem is also studied in the space of functions of bounded variation.
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