文章基本信息

标题：On the Convergence of a Nonlinear Boundary-Value Problem in a Perforated Domain
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作者：Yulia Koroleva
期刊名称：International Journal of Differential Equations
印刷版ISSN：1687-9643
电子版ISSN：1687-9651
出版年度：2015
卷号：2015
DOI：10.1155/2015/392479
出版社：Hindawi Publishing Corporation
摘要：We consider a family with respect to a small parameter of nonlinear boundary-value problems as well as the corresponding spectral problems in a domain perforated periodically along a part of the boundary. We prove the convergence of solution of the original problems to the solution of the respective homogenized problem in this domain.