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
- Authors: Zubova M.N.1, Shaposhnikova T.A.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 96, No 1 (2017)
- Pages: 344-347
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225218
- DOI: https://doi.org/10.1134/S1064562417040159
- ID: 225218
Cite item
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