Homogenization of Harmonic Maps and Superconducting Composites
Leonid V. Berlyand, E. Ya. Khruslov · SIAM Journal on Applied Mathematics · 1999
We consider the Neumann boundary value problem for harmonic maps in an annular domain with a large number of small holes. On the boundary of the domain the degree condition is prescribed. We obtain an effective (homogenized) anisotropic nonlinear problem. We also discuss applications of these results to a homogenized description of superconducting composites and superfluidity.