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


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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.

About the authors

M. N. Zubova

Faculty of Mechanics and Mathematics

Email: shaposh.tan@mail.ru
Russian Federation, Moscow, 119992

T. A. Shaposhnikova

Faculty of Mechanics and Mathematics

Author for correspondence.
Email: shaposh.tan@mail.ru
Russian Federation, Moscow, 119992


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