zbMATH — the first resource for mathematics

Homogenization for degenerate operators with periodical coefficients with respect to the Heisenberg group. (English. Abridged French version) Zbl 0851.47046
Summary: We consider the problem of the homogenization of degenerate elliptic operators associated with the homogeneous Heisenberg group, with strongly oscillating coefficients which are periodical in the sense of the Heisenberg group. We use the method of energy to identify the homogenized problem.

35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
35J25 Boundary value problems for second-order elliptic equations
47A10 Spectrum, resolvent
35P05 General topics in linear spectral theory for PDEs