Random Homogenization in a Domain with Light Concentrated Masses
Gregory Aleksandrovich Chechkin, Tatiana P. Chechkina · Mathematics · 2020
In the paper, we consider an elliptic problem in a domain with singular stochastic perturbation of the density located near the boundary, depending on a small parameter. Using the boundary homogenization methods, we prove the compactness theorem and study the behavior of eigenelements to the initial problem as the small parameter tends to zero.