A note on dimension reduction for unbounded integrals with periodic microstructure via the unfolding method for slender domains
In the present work, the author focuses her attention on unbounded integral functionals with periodic microstructure, which often arise in the context of dimensional reduction for heterogeneous densities. She performs a 3D-2D dimension reduction for a nonhomogeneous constrained energy, and provides an integral representation for the limit functional via the application of the two-scale convergence for slender domains, which relies in turn on the unfolding method and \(\Gamma\)-convergence. Applications to supremal functionals in the 2D-1D dimensional reduction case are also given.
scientific article; zbMATH DE number 6707571