New results on the asymptotic behavior of Dirichlet problems in perforated domains. (English) Zbl 0804.47050

Dal Maso, Gianni; Garroni, Adriana

Math. Models Methods Appl. Sci. 4, No. 3, 373-407 (1994).

MSC:

47F05	General theory of partial differential operators (should also be assigned at least one other classification number in Section 47-XX)
46E35	Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
35J25	Boundary value problems for second-order elliptic equations

Keywords:

asymptotic behavior of Dirichlet problems in perforated domains; linear elliptic operator of second order with bounded measurable coefficients on a bounded open set; compactness; \(\Gamma\)-convergence; method of oscillating test functions