Two-scale homogenization in the Heisenberg group
The authors consider a problem of periodic homogenization with respect to the Heisenberg group (the periodicity is defined by group translations and the intrinsic anisotropic dilations of the group). The problem considered is relative to a generalized Cohn-Laplacian with strongly oscillating (Heisenberg-) periodic coefficients in a domain perforated with interconnected (Heisenberg-) periodic pipeline. The convergence to a precisely described homogeneized problem is obtained by the two-scale method in a version adapted to the geometry of the group.
intrinsic anisotropic dilations of the group
scientific article; zbMATH DE number 1975943
scientific article