Homogenization of the Boundary Value Problem
for the Laplace Operator in a Perforated Domain
with a Rapidly Oscillating Nonhomogeneous Robin-Type Condition on the Boundary of Holes in the Critical Case
M. N. Zubova and T. A. Shaposhnikova*
Translated by I. Ruzanova
Faculty of Mechanics and Mathematics,
Moscow State University, Moscow, 119992 Russia
Correspondence to: * e-mail: shaposh.tan@mail.ru
Received 15 February, 2017
Abstract—The asymptotic behavior of solutions to a boundary value problem in a domain periodically perforated by small holes with a rapidly oscillating nonhomogeneous Robin-type condition on their boundaries is investigated in the case of critical parameter values.
DOI: 10.1134/S1064562417040159