A mixing effect induced by sources concentrated in a soft junction and the gradient concentration phenomenon

摘要

We show that the variational limit of ae-soft and thin junction problem (ρ_ε) with sources concentrated in the junction gives rise to a surface energy mixing the internal energy and sources. The surface energy functional possesses an integral representation with respect to the gradient Young-concentration measures generated by sequences ((~-u_ε)ε >o of minimizers of (ρ_ε).